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Finding the Fourth Proportional to 657,117.80, 985,709.10 and 342,189.80

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Solution

The fourth proportional to 657,117.80, 985,709.10 and 342,189.80 is: 513,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,117.80 : 985,709.10 = 342,189.80 : x
  2. Step 2: Convert to fraction form
    657,117.80/985,709.10 = 342,189.80/x
  3. Step 3: Cross multiply
    657,117.80x = 985,709.10 × 342,189.80
  4. Step 4: Simplify right side
    657,117.80x = 337,299,599,787.18
  5. Step 5: Solve for x
    x = 337,299,599,787.18/657,117.80
  6. Step 6: Final answer
    x = 513,301.57

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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.