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Finding the Fourth Proportional to 285,193.79, 428,211.21 and 159,080.43

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Solution

The fourth proportional to 285,193.79, 428,211.21 and 159,080.43 is: 238,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,193.79 : 428,211.21 = 159,080.43 : x
  2. Step 2: Convert to fraction form
    285,193.79/428,211.21 = 159,080.43/x
  3. Step 3: Cross multiply
    285,193.79x = 428,211.21 × 159,080.43
  4. Step 4: Simplify right side
    285,193.79x = 68,120,023,417.62
  5. Step 5: Solve for x
    x = 68,120,023,417.62/285,193.79
  6. Step 6: Final answer
    x = 238,855.22

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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.