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Finding the Fourth Proportional to 285,542.66, 428,237.22 and 85,818.44

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Solution

The fourth proportional to 285,542.66, 428,237.22 and 85,818.44 is: 128,704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,542.66 : 428,237.22 = 85,818.44 : x
  2. Step 2: Convert to fraction form
    285,542.66/428,237.22 = 85,818.44/x
  3. Step 3: Cross multiply
    285,542.66x = 428,237.22 × 85,818.44
  4. Step 4: Simplify right side
    285,542.66x = 36,750,650,170.34
  5. Step 5: Solve for x
    x = 36,750,650,170.34/285,542.66
  6. Step 6: Final answer
    x = 128,704.59

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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.