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Finding the Fourth Proportional to 420,644.43, 580,486.28 and 229,657.82

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Solution

The fourth proportional to 420,644.43, 580,486.28 and 229,657.82 is: 316,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,644.43 : 580,486.28 = 229,657.82 : x
  2. Step 2: Convert to fraction form
    420,644.43/580,486.28 = 229,657.82/x
  3. Step 3: Cross multiply
    420,644.43x = 580,486.28 × 229,657.82
  4. Step 4: Simplify right side
    420,644.43x = 133,313,209,553.99
  5. Step 5: Solve for x
    x = 133,313,209,553.99/420,644.43
  6. Step 6: Final answer
    x = 316,926.13

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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.