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Finding the Fourth Proportional to 442,841.80, 664,368.11 and 143,322.38

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Solution

The fourth proportional to 442,841.80, 664,368.11 and 143,322.38 is: 215,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,841.80 : 664,368.11 = 143,322.38 : x
  2. Step 2: Convert to fraction form
    442,841.80/664,368.11 = 143,322.38/x
  3. Step 3: Cross multiply
    442,841.80x = 664,368.11 × 143,322.38
  4. Step 4: Simplify right side
    442,841.80x = 95,218,817,949.97
  5. Step 5: Solve for x
    x = 95,218,817,949.97/442,841.80
  6. Step 6: Final answer
    x = 215,017.68

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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.