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Finding the Fourth Proportional to 497,414.30, 745,939.20 and 160,543.40

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Solution

The fourth proportional to 497,414.30, 745,939.20 and 160,543.40 is: 240,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,414.30 : 745,939.20 = 160,543.40 : x
  2. Step 2: Convert to fraction form
    497,414.30/745,939.20 = 160,543.40/x
  3. Step 3: Cross multiply
    497,414.30x = 745,939.20 × 160,543.40
  4. Step 4: Simplify right side
    497,414.30x = 119,755,615,361.28
  5. Step 5: Solve for x
    x = 119,755,615,361.28/497,414.30
  6. Step 6: Final answer
    x = 240,756.28

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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.