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Finding the Fourth Proportional to 285,944.98, 428,618.17 and 96,339.83

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Solution

The fourth proportional to 285,944.98, 428,618.17 and 96,339.83 is: 144,408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,944.98 : 428,618.17 = 96,339.83 : x
  2. Step 2: Convert to fraction form
    285,944.98/428,618.17 = 96,339.83/x
  3. Step 3: Cross multiply
    285,944.98x = 428,618.17 × 96,339.83
  4. Step 4: Simplify right side
    285,944.98x = 41,293,002,463.41
  5. Step 5: Solve for x
    x = 41,293,002,463.41/285,944.98
  6. Step 6: Final answer
    x = 144,408.91

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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.