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Finding the Fourth Proportional to 284,668.17, 427,002.26 and 74,306.31

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Solution

The fourth proportional to 284,668.17, 427,002.26 and 74,306.31 is: 111,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,668.17 : 427,002.26 = 74,306.31 : x
  2. Step 2: Convert to fraction form
    284,668.17/427,002.26 = 74,306.31/x
  3. Step 3: Cross multiply
    284,668.17x = 427,002.26 × 74,306.31
  4. Step 4: Simplify right side
    284,668.17x = 31,728,961,930.73
  5. Step 5: Solve for x
    x = 31,728,961,930.73/284,668.17
  6. Step 6: Final answer
    x = 111,459.47

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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.