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Finding the Fourth Proportional to 318,497.76, 477,815.76 and 96,876

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Solution

The fourth proportional to 318,497.76, 477,815.76 and 96,876 is: 145,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,497.76 : 477,815.76 = 96,876 : x
  2. Step 2: Convert to fraction form
    318,497.76/477,815.76 = 96,876/x
  3. Step 3: Cross multiply
    318,497.76x = 477,815.76 × 96,876
  4. Step 4: Simplify right side
    318,497.76x = 46,288,879,565.76
  5. Step 5: Solve for x
    x = 46,288,879,565.76/318,497.76
  6. Step 6: Final answer
    x = 145,335.02

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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.