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Finding the Fourth Proportional to 278,375.64, 417,563.30 and 100,882.36

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Solution

The fourth proportional to 278,375.64, 417,563.30 and 100,882.36 is: 151,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,375.64 : 417,563.30 = 100,882.36 : x
  2. Step 2: Convert to fraction form
    278,375.64/417,563.30 = 100,882.36/x
  3. Step 3: Cross multiply
    278,375.64x = 417,563.30 × 100,882.36
  4. Step 4: Simplify right side
    278,375.64x = 42,124,771,927.55
  5. Step 5: Solve for x
    x = 42,124,771,927.55/278,375.64
  6. Step 6: Final answer
    x = 151,323.49

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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.