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Finding the Fourth Proportional to 285,367.35, 428,116.63 and 85,691.52

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Solution

The fourth proportional to 285,367.35, 428,116.63 and 85,691.52 is: 128,556.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,367.35 : 428,116.63 = 85,691.52 : x
  2. Step 2: Convert to fraction form
    285,367.35/428,116.63 = 85,691.52/x
  3. Step 3: Cross multiply
    285,367.35x = 428,116.63 × 85,691.52
  4. Step 4: Simplify right side
    285,367.35x = 36,685,964,949.43
  5. Step 5: Solve for x
    x = 36,685,964,949.43/285,367.35
  6. Step 6: Final answer
    x = 128,556.98

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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.