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Finding the Fourth Proportional to 420,392.91, 580,154.55 and 229,418.61

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Solution

The fourth proportional to 420,392.91, 580,154.55 and 229,418.61 is: 316,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,392.91 : 580,154.55 = 229,418.61 : x
  2. Step 2: Convert to fraction form
    420,392.91/580,154.55 = 229,418.61/x
  3. Step 3: Cross multiply
    420,392.91x = 580,154.55 × 229,418.61
  4. Step 4: Simplify right side
    420,392.91x = 133,098,250,446.18
  5. Step 5: Solve for x
    x = 133,098,250,446.18/420,392.91
  6. Step 6: Final answer
    x = 316,604.41

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1.5x scale

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.