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Finding the Fourth Proportional to 420,641.28, 580,469.76 and 229,651.20

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Solution

The fourth proportional to 420,641.28, 580,469.76 and 229,651.20 is: 316,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,641.28 : 580,469.76 = 229,651.20 : x
  2. Step 2: Convert to fraction form
    420,641.28/580,469.76 = 229,651.20/x
  3. Step 3: Cross multiply
    420,641.28x = 580,469.76 × 229,651.20
  4. Step 4: Simplify right side
    420,641.28x = 133,305,576,947.71
  5. Step 5: Solve for x
    x = 133,305,576,947.71/420,641.28
  6. Step 6: Final answer
    x = 316,910.35

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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.