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Finding the Fourth Proportional to 408,361, 563,538.18 and 229,513

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Solution

The fourth proportional to 408,361, 563,538.18 and 229,513 is: 316,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,361 : 563,538.18 = 229,513 : x
  2. Step 2: Convert to fraction form
    408,361/563,538.18 = 229,513/x
  3. Step 3: Cross multiply
    408,361x = 563,538.18 × 229,513
  4. Step 4: Simplify right side
    408,361x = 129,339,338,306.34
  5. Step 5: Solve for x
    x = 129,339,338,306.34/408,361
  6. Step 6: Final answer
    x = 316,727.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.