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Finding the Fourth Proportional to 278,864.64, 417,954.28 and 128,902.04

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Solution

The fourth proportional to 278,864.64, 417,954.28 and 128,902.04 is: 193,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,864.64 : 417,954.28 = 128,902.04 : x
  2. Step 2: Convert to fraction form
    278,864.64/417,954.28 = 128,902.04/x
  3. Step 3: Cross multiply
    278,864.64x = 417,954.28 × 128,902.04
  4. Step 4: Simplify right side
    278,864.64x = 53,875,159,318.73
  5. Step 5: Solve for x
    x = 53,875,159,318.73/278,864.64
  6. Step 6: Final answer
    x = 193,194.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.