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Finding the Fourth Proportional to 349,456.40, 523,745.88 and 149,541.68

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Solution

The fourth proportional to 349,456.40, 523,745.88 and 149,541.68 is: 224,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,456.40 : 523,745.88 = 149,541.68 : x
  2. Step 2: Convert to fraction form
    349,456.40/523,745.88 = 149,541.68/x
  3. Step 3: Cross multiply
    349,456.40x = 523,745.88 × 149,541.68
  4. Step 4: Simplify right side
    349,456.40x = 78,321,838,788.28
  5. Step 5: Solve for x
    x = 78,321,838,788.28/349,456.40
  6. Step 6: Final answer
    x = 224,124.78

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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.