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Finding the Fourth Proportional to 257,545.20, 386,317.80 and 115,390.20

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Solution

The fourth proportional to 257,545.20, 386,317.80 and 115,390.20 is: 173,085.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,545.20 : 386,317.80 = 115,390.20 : x
  2. Step 2: Convert to fraction form
    257,545.20/386,317.80 = 115,390.20/x
  3. Step 3: Cross multiply
    257,545.20x = 386,317.80 × 115,390.20
  4. Step 4: Simplify right side
    257,545.20x = 44,577,288,205.56
  5. Step 5: Solve for x
    x = 44,577,288,205.56/257,545.20
  6. Step 6: Final answer
    x = 173,085.30

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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.