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Finding the Fourth Proportional to 497,419.20, 744,541.20 and 392,443.20

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Solution

The fourth proportional to 497,419.20, 744,541.20 and 392,443.20 is: 587,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,419.20 : 744,541.20 = 392,443.20 : x
  2. Step 2: Convert to fraction form
    497,419.20/744,541.20 = 392,443.20/x
  3. Step 3: Cross multiply
    497,419.20x = 744,541.20 × 392,443.20
  4. Step 4: Simplify right side
    497,419.20x = 292,190,131,059.84
  5. Step 5: Solve for x
    x = 292,190,131,059.84/497,419.20
  6. Step 6: Final answer
    x = 587,412.25

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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.