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Finding the Fourth Proportional to 420,641.22, 580,481.90 and 229,654.60

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Solution

The fourth proportional to 420,641.22, 580,481.90 and 229,654.60 is: 316,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,641.22 : 580,481.90 = 229,654.60 : x
  2. Step 2: Convert to fraction form
    420,641.22/580,481.90 = 229,654.60/x
  3. Step 3: Cross multiply
    420,641.22x = 580,481.90 × 229,654.60
  4. Step 4: Simplify right side
    420,641.22x = 133,310,338,551.74
  5. Step 5: Solve for x
    x = 133,310,338,551.74/420,641.22
  6. Step 6: Final answer
    x = 316,921.72

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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.