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Finding the Fourth Proportional to 657,152.20, 985,728.30 and 342,224.20

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Solution

The fourth proportional to 657,152.20, 985,728.30 and 342,224.20 is: 513,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,152.20 : 985,728.30 = 342,224.20 : x
  2. Step 2: Convert to fraction form
    657,152.20/985,728.30 = 342,224.20/x
  3. Step 3: Cross multiply
    657,152.20x = 985,728.30 × 342,224.20
  4. Step 4: Simplify right side
    657,152.20x = 337,340,078,884.86
  5. Step 5: Solve for x
    x = 337,340,078,884.86/657,152.20
  6. Step 6: Final answer
    x = 513,336.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.