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Finding the Fourth Proportional to 285,431.80, 428,046.90 and 98,399.80

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Solution

The fourth proportional to 285,431.80, 428,046.90 and 98,399.80 is: 147,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,431.80 : 428,046.90 = 98,399.80 : x
  2. Step 2: Convert to fraction form
    285,431.80/428,046.90 = 98,399.80/x
  3. Step 3: Cross multiply
    285,431.80x = 428,046.90 × 98,399.80
  4. Step 4: Simplify right side
    285,431.80x = 42,119,729,350.62
  5. Step 5: Solve for x
    x = 42,119,729,350.62/285,431.80
  6. Step 6: Final answer
    x = 147,564.95

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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.