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Finding the Fourth Proportional to 285,549.30, 428,517.72 and 152,524.98

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Solution

The fourth proportional to 285,549.30, 428,517.72 and 152,524.98 is: 228,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,549.30 : 428,517.72 = 152,524.98 : x
  2. Step 2: Convert to fraction form
    285,549.30/428,517.72 = 152,524.98/x
  3. Step 3: Cross multiply
    285,549.30x = 428,517.72 × 152,524.98
  4. Step 4: Simplify right side
    285,549.30x = 65,359,656,672.65
  5. Step 5: Solve for x
    x = 65,359,656,672.65/285,549.30
  6. Step 6: Final answer
    x = 228,890.97

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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.