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Finding the Fourth Proportional to 398,471.92, 597,779.40 and 132,182.80

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Solution

The fourth proportional to 398,471.92, 597,779.40 and 132,182.80 is: 198,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,471.92 : 597,779.40 = 132,182.80 : x
  2. Step 2: Convert to fraction form
    398,471.92/597,779.40 = 132,182.80/x
  3. Step 3: Cross multiply
    398,471.92x = 597,779.40 × 132,182.80
  4. Step 4: Simplify right side
    398,471.92x = 79,016,154,874.32
  5. Step 5: Solve for x
    x = 79,016,154,874.32/398,471.92
  6. Step 6: Final answer
    x = 198,297.92

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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.