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Finding the Fourth Proportional to 278,409.80, 417,568.26 and 78,684.86

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Solution

The fourth proportional to 278,409.80, 417,568.26 and 78,684.86 is: 118,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,409.80 : 417,568.26 = 78,684.86 : x
  2. Step 2: Convert to fraction form
    278,409.80/417,568.26 = 78,684.86/x
  3. Step 3: Cross multiply
    278,409.80x = 417,568.26 × 78,684.86
  4. Step 4: Simplify right side
    278,409.80x = 32,856,300,078.54
  5. Step 5: Solve for x
    x = 32,856,300,078.54/278,409.80
  6. Step 6: Final answer
    x = 118,014.17

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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.