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Finding the Fourth Proportional to 317,132.86, 474,766.17 and 211,690.30

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Solution

The fourth proportional to 317,132.86, 474,766.17 and 211,690.30 is: 316,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,132.86 : 474,766.17 = 211,690.30 : x
  2. Step 2: Convert to fraction form
    317,132.86/474,766.17 = 211,690.30/x
  3. Step 3: Cross multiply
    317,132.86x = 474,766.17 × 211,690.30
  4. Step 4: Simplify right side
    317,132.86x = 100,503,392,957.15
  5. Step 5: Solve for x
    x = 100,503,392,957.15/317,132.86
  6. Step 6: Final answer
    x = 316,912.58

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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.