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Finding the Fourth Proportional to 278,168.78, 417,253.48 and 100,634.20

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Solution

The fourth proportional to 278,168.78, 417,253.48 and 100,634.20 is: 150,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,168.78 : 417,253.48 = 100,634.20 : x
  2. Step 2: Convert to fraction form
    278,168.78/417,253.48 = 100,634.20/x
  3. Step 3: Cross multiply
    278,168.78x = 417,253.48 × 100,634.20
  4. Step 4: Simplify right side
    278,168.78x = 41,989,968,862.30
  5. Step 5: Solve for x
    x = 41,989,968,862.30/278,168.78
  6. Step 6: Final answer
    x = 150,951.41

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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.