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Finding the Fourth Proportional to 285,461.87, 428,202.53 and 135,624.83

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Solution

The fourth proportional to 285,461.87, 428,202.53 and 135,624.83 is: 203,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,461.87 : 428,202.53 = 135,624.83 : x
  2. Step 2: Convert to fraction form
    285,461.87/428,202.53 = 135,624.83/x
  3. Step 3: Cross multiply
    285,461.87x = 428,202.53 × 135,624.83
  4. Step 4: Simplify right side
    285,461.87x = 58,074,895,336.82
  5. Step 5: Solve for x
    x = 58,074,895,336.82/285,461.87
  6. Step 6: Final answer
    x = 203,441.87

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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.