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Finding the Fourth Proportional to 487,630.80, 731,257.12 and 167,721.84

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Solution

The fourth proportional to 487,630.80, 731,257.12 and 167,721.84 is: 251,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,630.80 : 731,257.12 = 167,721.84 : x
  2. Step 2: Convert to fraction form
    487,630.80/731,257.12 = 167,721.84/x
  3. Step 3: Cross multiply
    487,630.80x = 731,257.12 × 167,721.84
  4. Step 4: Simplify right side
    487,630.80x = 122,647,789,679.50
  5. Step 5: Solve for x
    x = 122,647,789,679.50/487,630.80
  6. Step 6: Final answer
    x = 251,517.73

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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.