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Finding the Fourth Proportional to 412,100.10, 618,150.15 and 252,667.80

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Solution

The fourth proportional to 412,100.10, 618,150.15 and 252,667.80 is: 379,001.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,100.10 : 618,150.15 = 252,667.80 : x
  2. Step 2: Convert to fraction form
    412,100.10/618,150.15 = 252,667.80/x
  3. Step 3: Cross multiply
    412,100.10x = 618,150.15 × 252,667.80
  4. Step 4: Simplify right side
    412,100.10x = 156,186,638,470.17
  5. Step 5: Solve for x
    x = 156,186,638,470.17/412,100.10
  6. Step 6: Final answer
    x = 379,001.70

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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.