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Finding the Fourth Proportional to 432,300, 648,452.88 and 136,812

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Solution

The fourth proportional to 432,300, 648,452.88 and 136,812 is: 205,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,300 : 648,452.88 = 136,812 : x
  2. Step 2: Convert to fraction form
    432,300/648,452.88 = 136,812/x
  3. Step 3: Cross multiply
    432,300x = 648,452.88 × 136,812
  4. Step 4: Simplify right side
    432,300x = 88,716,135,418.56
  5. Step 5: Solve for x
    x = 88,716,135,418.56/432,300
  6. Step 6: Final answer
    x = 205,218.91

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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.