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Finding the Fourth Proportional to 278,080.78, 383,741.12 and 150,753.64

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Solution

The fourth proportional to 278,080.78, 383,741.12 and 150,753.64 is: 208,034.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,080.78 : 383,741.12 = 150,753.64 : x
  2. Step 2: Convert to fraction form
    278,080.78/383,741.12 = 150,753.64/x
  3. Step 3: Cross multiply
    278,080.78x = 383,741.12 × 150,753.64
  4. Step 4: Simplify right side
    278,080.78x = 57,850,370,657.68
  5. Step 5: Solve for x
    x = 57,850,370,657.68/278,080.78
  6. Step 6: Final answer
    x = 208,034.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.