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Finding the Fourth Proportional to 285,423.52, 428,118.80 and 85,739.52

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Solution

The fourth proportional to 285,423.52, 428,118.80 and 85,739.52 is: 128,604.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,423.52 : 428,118.80 = 85,739.52 : x
  2. Step 2: Convert to fraction form
    285,423.52/428,118.80 = 85,739.52/x
  3. Step 3: Cross multiply
    285,423.52x = 428,118.80 × 85,739.52
  4. Step 4: Simplify right side
    285,423.52x = 36,706,700,414.98
  5. Step 5: Solve for x
    x = 36,706,700,414.98/285,423.52
  6. Step 6: Final answer
    x = 128,604.33

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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.