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Finding the Fourth Proportional to 278,876.51, 384,849.56 and 151,552.10

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Solution

The fourth proportional to 278,876.51, 384,849.56 and 151,552.10 is: 209,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,876.51 : 384,849.56 = 151,552.10 : x
  2. Step 2: Convert to fraction form
    278,876.51/384,849.56 = 151,552.10/x
  3. Step 3: Cross multiply
    278,876.51x = 384,849.56 × 151,552.10
  4. Step 4: Simplify right side
    278,876.51x = 58,324,756,320.07
  5. Step 5: Solve for x
    x = 58,324,756,320.07/278,876.51
  6. Step 6: Final answer
    x = 209,141.88

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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.