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Finding the Fourth Proportional to 257,517.48, 386,013.78 and 234,816.60

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Solution

The fourth proportional to 257,517.48, 386,013.78 and 234,816.60 is: 351,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,517.48 : 386,013.78 = 234,816.60 : x
  2. Step 2: Convert to fraction form
    257,517.48/386,013.78 = 234,816.60/x
  3. Step 3: Cross multiply
    257,517.48x = 386,013.78 × 234,816.60
  4. Step 4: Simplify right side
    257,517.48x = 90,642,443,372.75
  5. Step 5: Solve for x
    x = 90,642,443,372.75/257,517.48
  6. Step 6: Final answer
    x = 351,985.59

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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.