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Finding the Fourth Proportional to 420,404.40, 580,159.68 and 229,422

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Solution

The fourth proportional to 420,404.40, 580,159.68 and 229,422 is: 316,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,404.40 : 580,159.68 = 229,422 : x
  2. Step 2: Convert to fraction form
    420,404.40/580,159.68 = 229,422/x
  3. Step 3: Cross multiply
    420,404.40x = 580,159.68 × 229,422
  4. Step 4: Simplify right side
    420,404.40x = 133,101,394,104.96
  5. Step 5: Solve for x
    x = 133,101,394,104.96/420,404.40
  6. Step 6: Final answer
    x = 316,603.24

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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.