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Finding the Fourth Proportional to 257,974.80, 386,998.65 and 80,463.30

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Solution

The fourth proportional to 257,974.80, 386,998.65 and 80,463.30 is: 120,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,974.80 : 386,998.65 = 80,463.30 : x
  2. Step 2: Convert to fraction form
    257,974.80/386,998.65 = 80,463.30/x
  3. Step 3: Cross multiply
    257,974.80x = 386,998.65 × 80,463.30
  4. Step 4: Simplify right side
    257,974.80x = 31,139,188,474.55
  5. Step 5: Solve for x
    x = 31,139,188,474.55/257,974.80
  6. Step 6: Final answer
    x = 120,706.32

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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.