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Finding the Fourth Proportional to 457,697.20, 686,545.80 and 388,577.20

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Solution

The fourth proportional to 457,697.20, 686,545.80 and 388,577.20 is: 582,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,697.20 : 686,545.80 = 388,577.20 : x
  2. Step 2: Convert to fraction form
    457,697.20/686,545.80 = 388,577.20/x
  3. Step 3: Cross multiply
    457,697.20x = 686,545.80 × 388,577.20
  4. Step 4: Simplify right side
    457,697.20x = 266,776,044,635.76
  5. Step 5: Solve for x
    x = 266,776,044,635.76/457,697.20
  6. Step 6: Final answer
    x = 582,865.80

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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.