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Finding the Fourth Proportional to 285,376.34, 428,068.70 and 135,631.91

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Solution

The fourth proportional to 285,376.34, 428,068.70 and 135,631.91 is: 203,449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,376.34 : 428,068.70 = 135,631.91 : x
  2. Step 2: Convert to fraction form
    285,376.34/428,068.70 = 135,631.91/x
  3. Step 3: Cross multiply
    285,376.34x = 428,068.70 × 135,631.91
  4. Step 4: Simplify right side
    285,376.34x = 58,059,772,573.71
  5. Step 5: Solve for x
    x = 58,059,772,573.71/285,376.34
  6. Step 6: Final answer
    x = 203,449.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.