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Finding the Fourth Proportional to 408,530.46, 563,772 and 229,682.46

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Solution

The fourth proportional to 408,530.46, 563,772 and 229,682.46 is: 316,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,530.46 : 563,772 = 229,682.46 : x
  2. Step 2: Convert to fraction form
    408,530.46/563,772 = 229,682.46/x
  3. Step 3: Cross multiply
    408,530.46x = 563,772 × 229,682.46
  4. Step 4: Simplify right side
    408,530.46x = 129,488,539,839.12
  5. Step 5: Solve for x
    x = 129,488,539,839.12/408,530.46
  6. Step 6: Final answer
    x = 316,961.78

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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.