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Finding the Fourth Proportional to 218,964.60, 328,446.90 and 140,167.80

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Solution

The fourth proportional to 218,964.60, 328,446.90 and 140,167.80 is: 210,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,964.60 : 328,446.90 = 140,167.80 : x
  2. Step 2: Convert to fraction form
    218,964.60/328,446.90 = 140,167.80/x
  3. Step 3: Cross multiply
    218,964.60x = 328,446.90 × 140,167.80
  4. Step 4: Simplify right side
    218,964.60x = 46,037,679,389.82
  5. Step 5: Solve for x
    x = 46,037,679,389.82/218,964.60
  6. Step 6: Final answer
    x = 210,251.70

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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.