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Finding the Fourth Proportional to 257,894.10, 386,841.15 and 80,399.70

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Solution

The fourth proportional to 257,894.10, 386,841.15 and 80,399.70 is: 120,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,894.10 : 386,841.15 = 80,399.70 : x
  2. Step 2: Convert to fraction form
    257,894.10/386,841.15 = 80,399.70/x
  3. Step 3: Cross multiply
    257,894.10x = 386,841.15 × 80,399.70
  4. Step 4: Simplify right side
    257,894.10x = 31,101,912,407.66
  5. Step 5: Solve for x
    x = 31,101,912,407.66/257,894.10
  6. Step 6: Final answer
    x = 120,599.55

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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.