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Finding the Fourth Proportional to 564,000.20, 778,314.93 and 309,352.40

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Solution

The fourth proportional to 564,000.20, 778,314.93 and 309,352.40 is: 426,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,000.20 : 778,314.93 = 309,352.40 : x
  2. Step 2: Convert to fraction form
    564,000.20/778,314.93 = 309,352.40/x
  3. Step 3: Cross multiply
    564,000.20x = 778,314.93 × 309,352.40
  4. Step 4: Simplify right side
    564,000.20x = 240,773,591,551.33
  5. Step 5: Solve for x
    x = 240,773,591,551.33/564,000.20
  6. Step 6: Final answer
    x = 426,903.38

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.