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Finding the Fourth Proportional to 318,794.92, 478,191.52 and 82,117.76

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Solution

The fourth proportional to 318,794.92, 478,191.52 and 82,117.76 is: 123,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,794.92 : 478,191.52 = 82,117.76 : x
  2. Step 2: Convert to fraction form
    318,794.92/478,191.52 = 82,117.76/x
  3. Step 3: Cross multiply
    318,794.92x = 478,191.52 × 82,117.76
  4. Step 4: Simplify right side
    318,794.92x = 39,268,016,473.40
  5. Step 5: Solve for x
    x = 39,268,016,473.40/318,794.92
  6. Step 6: Final answer
    x = 123,176.42

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1.5x scale

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.