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Finding the Fourth Proportional to 257,517.20, 386,470.20 and 97,733.36

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Solution

The fourth proportional to 257,517.20, 386,470.20 and 97,733.36 is: 146,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,517.20 : 386,470.20 = 97,733.36 : x
  2. Step 2: Convert to fraction form
    257,517.20/386,470.20 = 97,733.36/x
  3. Step 3: Cross multiply
    257,517.20x = 386,470.20 × 97,733.36
  4. Step 4: Simplify right side
    257,517.20x = 37,771,031,185.87
  5. Step 5: Solve for x
    x = 37,771,031,185.87/257,517.20
  6. Step 6: Final answer
    x = 146,673.82

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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.