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Finding the Fourth Proportional to 438,382.80, 657,209.70 and 185,857.20

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Solution

The fourth proportional to 438,382.80, 657,209.70 and 185,857.20 is: 278,631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,382.80 : 657,209.70 = 185,857.20 : x
  2. Step 2: Convert to fraction form
    438,382.80/657,209.70 = 185,857.20/x
  3. Step 3: Cross multiply
    438,382.80x = 657,209.70 × 185,857.20
  4. Step 4: Simplify right side
    438,382.80x = 122,147,154,654.84
  5. Step 5: Solve for x
    x = 122,147,154,654.84/438,382.80
  6. Step 6: Final answer
    x = 278,631.27

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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.