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Finding the Fourth Proportional to 407,732.80, 611,672.10 and 171,099.40

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Solution

The fourth proportional to 407,732.80, 611,672.10 and 171,099.40 is: 256,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,732.80 : 611,672.10 = 171,099.40 : x
  2. Step 2: Convert to fraction form
    407,732.80/611,672.10 = 171,099.40/x
  3. Step 3: Cross multiply
    407,732.80x = 611,672.10 × 171,099.40
  4. Step 4: Simplify right side
    407,732.80x = 104,656,729,306.74
  5. Step 5: Solve for x
    x = 104,656,729,306.74/407,732.80
  6. Step 6: Final answer
    x = 256,679.69

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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.