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Finding the Fourth Proportional to 285,568.80, 428,359.98 and 96,031.62

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Solution

The fourth proportional to 285,568.80, 428,359.98 and 96,031.62 is: 144,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,568.80 : 428,359.98 = 96,031.62 : x
  2. Step 2: Convert to fraction form
    285,568.80/428,359.98 = 96,031.62/x
  3. Step 3: Cross multiply
    285,568.80x = 428,359.98 × 96,031.62
  4. Step 4: Simplify right side
    285,568.80x = 41,136,102,822.57
  5. Step 5: Solve for x
    x = 41,136,102,822.57/285,568.80
  6. Step 6: Final answer
    x = 144,049.71

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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.