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Finding the Fourth Proportional to 311,479.64, 467,327.87 and 98,280.46

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Solution

The fourth proportional to 311,479.64, 467,327.87 and 98,280.46 is: 147,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,479.64 : 467,327.87 = 98,280.46 : x
  2. Step 2: Convert to fraction form
    311,479.64/467,327.87 = 98,280.46/x
  3. Step 3: Cross multiply
    311,479.64x = 467,327.87 × 98,280.46
  4. Step 4: Simplify right side
    311,479.64x = 45,929,198,034.42
  5. Step 5: Solve for x
    x = 45,929,198,034.42/311,479.64
  6. Step 6: Final answer
    x = 147,454.90

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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.