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Finding the Fourth Proportional to 497,447.20, 744,583.20 and 392,471.20

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Solution

The fourth proportional to 497,447.20, 744,583.20 and 392,471.20 is: 587,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,447.20 : 744,583.20 = 392,471.20 : x
  2. Step 2: Convert to fraction form
    497,447.20/744,583.20 = 392,471.20/x
  3. Step 3: Cross multiply
    497,447.20x = 744,583.20 × 392,471.20
  4. Step 4: Simplify right side
    497,447.20x = 292,227,462,003.84
  5. Step 5: Solve for x
    x = 292,227,462,003.84/497,447.20
  6. Step 6: Final answer
    x = 587,454.23

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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.