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Finding the Fourth Proportional to 407,734.43, 611,606.70 and 123,426.86

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Solution

The fourth proportional to 407,734.43, 611,606.70 and 123,426.86 is: 185,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,734.43 : 611,606.70 = 123,426.86 : x
  2. Step 2: Convert to fraction form
    407,734.43/611,606.70 = 123,426.86/x
  3. Step 3: Cross multiply
    407,734.43x = 611,606.70 × 123,426.86
  4. Step 4: Simplify right side
    407,734.43x = 75,488,691,477.93
  5. Step 5: Solve for x
    x = 75,488,691,477.93/407,734.43
  6. Step 6: Final answer
    x = 185,141.81

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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.