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Finding the Fourth Proportional to 420,542.92, 580,357.38 and 229,573

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Solution

The fourth proportional to 420,542.92, 580,357.38 and 229,573 is: 316,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,542.92 : 580,357.38 = 229,573 : x
  2. Step 2: Convert to fraction form
    420,542.92/580,357.38 = 229,573/x
  3. Step 3: Cross multiply
    420,542.92x = 580,357.38 × 229,573
  4. Step 4: Simplify right side
    420,542.92x = 133,234,384,798.74
  5. Step 5: Solve for x
    x = 133,234,384,798.74/420,542.92
  6. Step 6: Final answer
    x = 316,815.19

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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.