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Finding the Fourth Proportional to 278,585.38, 384,447.84 and 151,261

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Solution

The fourth proportional to 278,585.38, 384,447.84 and 151,261 is: 208,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,585.38 : 384,447.84 = 151,261 : x
  2. Step 2: Convert to fraction form
    278,585.38/384,447.84 = 151,261/x
  3. Step 3: Cross multiply
    278,585.38x = 384,447.84 × 151,261
  4. Step 4: Simplify right side
    278,585.38x = 58,151,964,726.24
  5. Step 5: Solve for x
    x = 58,151,964,726.24/278,585.38
  6. Step 6: Final answer
    x = 208,740.19

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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.