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Finding the Fourth Proportional to 354,319.92, 531,477.63 and 129,696

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Solution

The fourth proportional to 354,319.92, 531,477.63 and 129,696 is: 194,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,319.92 : 531,477.63 = 129,696 : x
  2. Step 2: Convert to fraction form
    354,319.92/531,477.63 = 129,696/x
  3. Step 3: Cross multiply
    354,319.92x = 531,477.63 × 129,696
  4. Step 4: Simplify right side
    354,319.92x = 68,930,522,700.48
  5. Step 5: Solve for x
    x = 68,930,522,700.48/354,319.92
  6. Step 6: Final answer
    x = 194,543.18

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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.