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Finding the Fourth Proportional to 285,218.73, 427,802.49 and 85,583.70

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Solution

The fourth proportional to 285,218.73, 427,802.49 and 85,583.70 is: 128,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,218.73 : 427,802.49 = 85,583.70 : x
  2. Step 2: Convert to fraction form
    285,218.73/427,802.49 = 85,583.70/x
  3. Step 3: Cross multiply
    285,218.73x = 427,802.49 × 85,583.70
  4. Step 4: Simplify right side
    285,218.73x = 36,612,919,963.41
  5. Step 5: Solve for x
    x = 36,612,919,963.41/285,218.73
  6. Step 6: Final answer
    x = 128,367.87

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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.