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Finding the Fourth Proportional to 487,311.80, 729,995.70 and 428,862.20

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Solution

The fourth proportional to 487,311.80, 729,995.70 and 428,862.20 is: 642,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,311.80 : 729,995.70 = 428,862.20 : x
  2. Step 2: Convert to fraction form
    487,311.80/729,995.70 = 428,862.20/x
  3. Step 3: Cross multiply
    487,311.80x = 729,995.70 × 428,862.20
  4. Step 4: Simplify right side
    487,311.80x = 313,067,561,892.54
  5. Step 5: Solve for x
    x = 313,067,561,892.54/487,311.80
  6. Step 6: Final answer
    x = 642,437.88

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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.