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Finding the Fourth Proportional to 420,468.52, 580,242.02 and 229,480.36

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Solution

The fourth proportional to 420,468.52, 580,242.02 and 229,480.36 is: 316,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,468.52 : 580,242.02 = 229,480.36 : x
  2. Step 2: Convert to fraction form
    420,468.52/580,242.02 = 229,480.36/x
  3. Step 3: Cross multiply
    420,468.52x = 580,242.02 × 229,480.36
  4. Step 4: Simplify right side
    420,468.52x = 133,154,147,636.73
  5. Step 5: Solve for x
    x = 133,154,147,636.73/420,468.52
  6. Step 6: Final answer
    x = 316,680.42

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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.