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Finding the Fourth Proportional to 420,641.12, 580,481.75 and 229,654.51

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Solution

The fourth proportional to 420,641.12, 580,481.75 and 229,654.51 is: 316,921.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,641.12 : 580,481.75 = 229,654.51 : x
  2. Step 2: Convert to fraction form
    420,641.12/580,481.75 = 229,654.51/x
  3. Step 3: Cross multiply
    420,641.12x = 580,481.75 × 229,654.51
  4. Step 4: Simplify right side
    420,641.12x = 133,310,251,860.19
  5. Step 5: Solve for x
    x = 133,310,251,860.19/420,641.12
  6. Step 6: Final answer
    x = 316,921.59

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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.