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Finding the Fourth Proportional to 311,129.64, 466,300.80 and 198,766.44

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Solution

The fourth proportional to 311,129.64, 466,300.80 and 198,766.44 is: 297,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,129.64 : 466,300.80 = 198,766.44 : x
  2. Step 2: Convert to fraction form
    311,129.64/466,300.80 = 198,766.44/x
  3. Step 3: Cross multiply
    311,129.64x = 466,300.80 × 198,766.44
  4. Step 4: Simplify right side
    311,129.64x = 92,684,949,985.15
  5. Step 5: Solve for x
    x = 92,684,949,985.15/311,129.64
  6. Step 6: Final answer
    x = 297,898.17

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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.