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Finding the Fourth Proportional to 345,515.52, 517,962.24 and 123,744

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Solution

The fourth proportional to 345,515.52, 517,962.24 and 123,744 is: 185,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,515.52 : 517,962.24 = 123,744 : x
  2. Step 2: Convert to fraction form
    345,515.52/517,962.24 = 123,744/x
  3. Step 3: Cross multiply
    345,515.52x = 517,962.24 × 123,744
  4. Step 4: Simplify right side
    345,515.52x = 64,094,719,426.56
  5. Step 5: Solve for x
    x = 64,094,719,426.56/345,515.52
  6. Step 6: Final answer
    x = 185,504.60

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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.