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Finding the Fourth Proportional to 257,722.99, 386,429.16 and 115,542.55

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Solution

The fourth proportional to 257,722.99, 386,429.16 and 115,542.55 is: 173,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,722.99 : 386,429.16 = 115,542.55 : x
  2. Step 2: Convert to fraction form
    257,722.99/386,429.16 = 115,542.55/x
  3. Step 3: Cross multiply
    257,722.99x = 386,429.16 × 115,542.55
  4. Step 4: Simplify right side
    257,722.99x = 44,649,010,540.76
  5. Step 5: Solve for x
    x = 44,649,010,540.76/257,722.99
  6. Step 6: Final answer
    x = 173,244.19

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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.