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Finding the Fourth Proportional to 611,729.10, 917,593.65 and 564,489.90

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Solution

The fourth proportional to 611,729.10, 917,593.65 and 564,489.90 is: 846,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,729.10 : 917,593.65 = 564,489.90 : x
  2. Step 2: Convert to fraction form
    611,729.10/917,593.65 = 564,489.90/x
  3. Step 3: Cross multiply
    611,729.10x = 917,593.65 × 564,489.90
  4. Step 4: Simplify right side
    611,729.10x = 517,972,347,729.14
  5. Step 5: Solve for x
    x = 517,972,347,729.14/611,729.10
  6. Step 6: Final answer
    x = 846,734.85

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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.