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Finding the Fourth Proportional to 278,475.78, 384,286.31 and 151,148.64

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Solution

The fourth proportional to 278,475.78, 384,286.31 and 151,148.64 is: 208,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,475.78 : 384,286.31 = 151,148.64 : x
  2. Step 2: Convert to fraction form
    278,475.78/384,286.31 = 151,148.64/x
  3. Step 3: Cross multiply
    278,475.78x = 384,286.31 × 151,148.64
  4. Step 4: Simplify right side
    278,475.78x = 58,084,352,371.38
  5. Step 5: Solve for x
    x = 58,084,352,371.38/278,475.78
  6. Step 6: Final answer
    x = 208,579.55

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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.