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Finding the Fourth Proportional to 257,516.80, 386,311.65 and 80,005.30

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Solution

The fourth proportional to 257,516.80, 386,311.65 and 80,005.30 is: 120,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,516.80 : 386,311.65 = 80,005.30 : x
  2. Step 2: Convert to fraction form
    257,516.80/386,311.65 = 80,005.30/x
  3. Step 3: Cross multiply
    257,516.80x = 386,311.65 × 80,005.30
  4. Step 4: Simplify right side
    257,516.80x = 30,906,979,451.75
  5. Step 5: Solve for x
    x = 30,906,979,451.75/257,516.80
  6. Step 6: Final answer
    x = 120,019.27

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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.