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Finding the Fourth Proportional to 278,637.72, 417,956.54 and 68,273.84

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Solution

The fourth proportional to 278,637.72, 417,956.54 and 68,273.84 is: 102,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,637.72 : 417,956.54 = 68,273.84 : x
  2. Step 2: Convert to fraction form
    278,637.72/417,956.54 = 68,273.84/x
  3. Step 3: Cross multiply
    278,637.72x = 417,956.54 × 68,273.84
  4. Step 4: Simplify right side
    278,637.72x = 28,535,495,507.76
  5. Step 5: Solve for x
    x = 28,535,495,507.76/278,637.72
  6. Step 6: Final answer
    x = 102,410.74

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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.