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Finding the Fourth Proportional to 420,364, 580,100.24 and 229,376.80

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Solution

The fourth proportional to 420,364, 580,100.24 and 229,376.80 is: 316,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,364 : 580,100.24 = 229,376.80 : x
  2. Step 2: Convert to fraction form
    420,364/580,100.24 = 229,376.80/x
  3. Step 3: Cross multiply
    420,364x = 580,100.24 × 229,376.80
  4. Step 4: Simplify right side
    420,364x = 133,061,536,730.43
  5. Step 5: Solve for x
    x = 133,061,536,730.43/420,364
  6. Step 6: Final answer
    x = 316,538.85

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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.