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Finding the Fourth Proportional to 211,631.20, 317,446.80 and 208,520.80

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Solution

The fourth proportional to 211,631.20, 317,446.80 and 208,520.80 is: 312,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,631.20 : 317,446.80 = 208,520.80 : x
  2. Step 2: Convert to fraction form
    211,631.20/317,446.80 = 208,520.80/x
  3. Step 3: Cross multiply
    211,631.20x = 317,446.80 × 208,520.80
  4. Step 4: Simplify right side
    211,631.20x = 66,194,260,693.44
  5. Step 5: Solve for x
    x = 66,194,260,693.44/211,631.20
  6. Step 6: Final answer
    x = 312,781.20

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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.