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Finding the Fourth Proportional to 420,778.80, 580,665.51 and 229,792.95

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Solution

The fourth proportional to 420,778.80, 580,665.51 and 229,792.95 is: 317,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,778.80 : 580,665.51 = 229,792.95 : x
  2. Step 2: Convert to fraction form
    420,778.80/580,665.51 = 229,792.95/x
  3. Step 3: Cross multiply
    420,778.80x = 580,665.51 × 229,792.95
  4. Step 4: Simplify right side
    420,778.80x = 133,432,840,506.16
  5. Step 5: Solve for x
    x = 133,432,840,506.16/420,778.80
  6. Step 6: Final answer
    x = 317,109.23

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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.