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Finding the Fourth Proportional to 432,331.68, 648,489.84 and 136,836

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Solution

The fourth proportional to 432,331.68, 648,489.84 and 136,836 is: 205,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,331.68 : 648,489.84 = 136,836 : x
  2. Step 2: Convert to fraction form
    432,331.68/648,489.84 = 136,836/x
  3. Step 3: Cross multiply
    432,331.68x = 648,489.84 × 136,836
  4. Step 4: Simplify right side
    432,331.68x = 88,736,755,746.24
  5. Step 5: Solve for x
    x = 88,736,755,746.24/432,331.68
  6. Step 6: Final answer
    x = 205,251.57

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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.