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Finding the Fourth Proportional to 278,361.64, 417,170.22 and 144,961.84

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Solution

The fourth proportional to 278,361.64, 417,170.22 and 144,961.84 is: 217,248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,361.64 : 417,170.22 = 144,961.84 : x
  2. Step 2: Convert to fraction form
    278,361.64/417,170.22 = 144,961.84/x
  3. Step 3: Cross multiply
    278,361.64x = 417,170.22 × 144,961.84
  4. Step 4: Simplify right side
    278,361.64x = 60,473,762,684.40
  5. Step 5: Solve for x
    x = 60,473,762,684.40/278,361.64
  6. Step 6: Final answer
    x = 217,248.91

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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.