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Finding the Fourth Proportional to 278,568.56, 417,797.42 and 136,352.74

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Solution

The fourth proportional to 278,568.56, 417,797.42 and 136,352.74 is: 204,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,568.56 : 417,797.42 = 136,352.74 : x
  2. Step 2: Convert to fraction form
    278,568.56/417,797.42 = 136,352.74/x
  3. Step 3: Cross multiply
    278,568.56x = 417,797.42 × 136,352.74
  4. Step 4: Simplify right side
    278,568.56x = 56,967,822,981.93
  5. Step 5: Solve for x
    x = 56,967,822,981.93/278,568.56
  6. Step 6: Final answer
    x = 204,501.98

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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.