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Finding the Fourth Proportional to 420,366, 580,103 and 229,378.80

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Solution

The fourth proportional to 420,366, 580,103 and 229,378.80 is: 316,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,366 : 580,103 = 229,378.80 : x
  2. Step 2: Convert to fraction form
    420,366/580,103 = 229,378.80/x
  3. Step 3: Cross multiply
    420,366x = 580,103 × 229,378.80
  4. Step 4: Simplify right side
    420,366x = 133,063,330,016.40
  5. Step 5: Solve for x
    x = 133,063,330,016.40/420,366
  6. Step 6: Final answer
    x = 316,541.61

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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.