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Finding the Fourth Proportional to 278,806.38, 384,751.80 and 151,480.86

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Solution

The fourth proportional to 278,806.38, 384,751.80 and 151,480.86 is: 209,043.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,806.38 : 384,751.80 = 151,480.86 : x
  2. Step 2: Convert to fraction form
    278,806.38/384,751.80 = 151,480.86/x
  3. Step 3: Cross multiply
    278,806.38x = 384,751.80 × 151,480.86
  4. Step 4: Simplify right side
    278,806.38x = 58,282,533,550.55
  5. Step 5: Solve for x
    x = 58,282,533,550.55/278,806.38
  6. Step 6: Final answer
    x = 209,043.04

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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.