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Finding the Fourth Proportional to 218,743.20, 328,114.80 and 165,599.10

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Solution

The fourth proportional to 218,743.20, 328,114.80 and 165,599.10 is: 248,398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,743.20 : 328,114.80 = 165,599.10 : x
  2. Step 2: Convert to fraction form
    218,743.20/328,114.80 = 165,599.10/x
  3. Step 3: Cross multiply
    218,743.20x = 328,114.80 × 165,599.10
  4. Step 4: Simplify right side
    218,743.20x = 54,335,515,576.68
  5. Step 5: Solve for x
    x = 54,335,515,576.68/218,743.20
  6. Step 6: Final answer
    x = 248,398.65

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1.5x scale

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.