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Finding the Fourth Proportional to 278,112.87, 416,921.90 and 100,580.41

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Solution

The fourth proportional to 278,112.87, 416,921.90 and 100,580.41 is: 150,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,112.87 : 416,921.90 = 100,580.41 : x
  2. Step 2: Convert to fraction form
    278,112.87/416,921.90 = 100,580.41/x
  3. Step 3: Cross multiply
    278,112.87x = 416,921.90 × 100,580.41
  4. Step 4: Simplify right side
    278,112.87x = 41,934,174,627.08
  5. Step 5: Solve for x
    x = 41,934,174,627.08/278,112.87
  6. Step 6: Final answer
    x = 150,781.14

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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.