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Finding the Fourth Proportional to 278,640.72, 417,961.04 and 68,276.84

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Solution

The fourth proportional to 278,640.72, 417,961.04 and 68,276.84 is: 102,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,640.72 : 417,961.04 = 68,276.84 : x
  2. Step 2: Convert to fraction form
    278,640.72/417,961.04 = 68,276.84/x
  3. Step 3: Cross multiply
    278,640.72x = 417,961.04 × 68,276.84
  4. Step 4: Simplify right side
    278,640.72x = 28,537,056,623.12
  5. Step 5: Solve for x
    x = 28,537,056,623.12/278,640.72
  6. Step 6: Final answer
    x = 102,415.24

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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.