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Finding the Fourth Proportional to 218,773.20, 328,159.80 and 165,629.10

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Solution

The fourth proportional to 218,773.20, 328,159.80 and 165,629.10 is: 248,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,773.20 : 328,159.80 = 165,629.10 : x
  2. Step 2: Convert to fraction form
    218,773.20/328,159.80 = 165,629.10/x
  3. Step 3: Cross multiply
    218,773.20x = 328,159.80 × 165,629.10
  4. Step 4: Simplify right side
    218,773.20x = 54,352,812,330.18
  5. Step 5: Solve for x
    x = 54,352,812,330.18/218,773.20
  6. Step 6: Final answer
    x = 248,443.65

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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.