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Finding the Fourth Proportional to 453,489.32, 680,036.94 and 137,872.41

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Solution

The fourth proportional to 453,489.32, 680,036.94 and 137,872.41 is: 206,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,489.32 : 680,036.94 = 137,872.41 : x
  2. Step 2: Convert to fraction form
    453,489.32/680,036.94 = 137,872.41/x
  3. Step 3: Cross multiply
    453,489.32x = 680,036.94 × 137,872.41
  4. Step 4: Simplify right side
    453,489.32x = 93,758,331,806.83
  5. Step 5: Solve for x
    x = 93,758,331,806.83/453,489.32
  6. Step 6: Final answer
    x = 206,748.71

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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.