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Finding the Fourth Proportional to 278,833, 384,791.34 and 151,508.56

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Solution

The fourth proportional to 278,833, 384,791.34 and 151,508.56 is: 209,082.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,833 : 384,791.34 = 151,508.56 : x
  2. Step 2: Convert to fraction form
    278,833/384,791.34 = 151,508.56/x
  3. Step 3: Cross multiply
    278,833x = 384,791.34 × 151,508.56
  4. Step 4: Simplify right side
    278,833x = 58,299,181,823.87
  5. Step 5: Solve for x
    x = 58,299,181,823.87/278,833
  6. Step 6: Final answer
    x = 209,082.79

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1.5x scale

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.