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Finding the Fourth Proportional to 747,807.12, 1,031,816.16 and 475,776

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Solution

The fourth proportional to 747,807.12, 1,031,816.16 and 475,776 is: 656,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,807.12 : 1,031,816.16 = 475,776 : x
  2. Step 2: Convert to fraction form
    747,807.12/1,031,816.16 = 475,776/x
  3. Step 3: Cross multiply
    747,807.12x = 1,031,816.16 × 475,776
  4. Step 4: Simplify right side
    747,807.12x = 490,913,365,340.16
  5. Step 5: Solve for x
    x = 490,913,365,340.16/747,807.12
  6. Step 6: Final answer
    x = 656,470.57

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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.