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Finding the Fourth Proportional to 285,379.80, 428,098.02 and 105,512.34

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Solution

The fourth proportional to 285,379.80, 428,098.02 and 105,512.34 is: 158,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,379.80 : 428,098.02 = 105,512.34 : x
  2. Step 2: Convert to fraction form
    285,379.80/428,098.02 = 105,512.34/x
  3. Step 3: Cross multiply
    285,379.80x = 428,098.02 × 105,512.34
  4. Step 4: Simplify right side
    285,379.80x = 45,169,623,839.57
  5. Step 5: Solve for x
    x = 45,169,623,839.57/285,379.80
  6. Step 6: Final answer
    x = 158,278.98

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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.