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Finding the Fourth Proportional to 497,253.20, 745,879.80 and 418,521.20

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Solution

The fourth proportional to 497,253.20, 745,879.80 and 418,521.20 is: 627,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,253.20 : 745,879.80 = 418,521.20 : x
  2. Step 2: Convert to fraction form
    497,253.20/745,879.80 = 418,521.20/x
  3. Step 3: Cross multiply
    497,253.20x = 745,879.80 × 418,521.20
  4. Step 4: Simplify right side
    497,253.20x = 312,166,508,951.76
  5. Step 5: Solve for x
    x = 312,166,508,951.76/497,253.20
  6. Step 6: Final answer
    x = 627,781.80

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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.