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Finding the Fourth Proportional to 278,104.32, 383,784.80 and 150,779.97

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Solution

The fourth proportional to 278,104.32, 383,784.80 and 150,779.97 is: 208,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,104.32 : 383,784.80 = 150,779.97 : x
  2. Step 2: Convert to fraction form
    278,104.32/383,784.80 = 150,779.97/x
  3. Step 3: Cross multiply
    278,104.32x = 383,784.80 × 150,779.97
  4. Step 4: Simplify right side
    278,104.32x = 57,867,059,876.56
  5. Step 5: Solve for x
    x = 57,867,059,876.56/278,104.32
  6. Step 6: Final answer
    x = 208,076.81

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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.