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Finding the Fourth Proportional to 432,000.34, 647,976.24 and 132,480.09

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Solution

The fourth proportional to 432,000.34, 647,976.24 and 132,480.09 is: 198,712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,000.34 : 647,976.24 = 132,480.09 : x
  2. Step 2: Convert to fraction form
    432,000.34/647,976.24 = 132,480.09/x
  3. Step 3: Cross multiply
    432,000.34x = 647,976.24 × 132,480.09
  4. Step 4: Simplify right side
    432,000.34x = 85,843,950,593.06
  5. Step 5: Solve for x
    x = 85,843,950,593.06/432,000.34
  6. Step 6: Final answer
    x = 198,712.69

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1.5x scale

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.