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Finding the Fourth Proportional to 577,998.20, 866,997.30 and 472,935.80

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Solution

The fourth proportional to 577,998.20, 866,997.30 and 472,935.80 is: 709,403.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,998.20 : 866,997.30 = 472,935.80 : x
  2. Step 2: Convert to fraction form
    577,998.20/866,997.30 = 472,935.80/x
  3. Step 3: Cross multiply
    577,998.20x = 866,997.30 × 472,935.80
  4. Step 4: Simplify right side
    577,998.20x = 410,034,061,673.34
  5. Step 5: Solve for x
    x = 410,034,061,673.34/577,998.20
  6. Step 6: Final answer
    x = 709,403.70

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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.