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Finding the Fourth Proportional to 497,398.20, 744,509.70 and 392,422.20

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Solution

The fourth proportional to 497,398.20, 744,509.70 and 392,422.20 is: 587,380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,398.20 : 744,509.70 = 392,422.20 : x
  2. Step 2: Convert to fraction form
    497,398.20/744,509.70 = 392,422.20/x
  3. Step 3: Cross multiply
    497,398.20x = 744,509.70 × 392,422.20
  4. Step 4: Simplify right side
    497,398.20x = 292,162,134,395.34
  5. Step 5: Solve for x
    x = 292,162,134,395.34/497,398.20
  6. Step 6: Final answer
    x = 587,380.76

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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.