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Finding the Fourth Proportional to 279,906.80, 419,957.40 and 122,248.40

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Solution

The fourth proportional to 279,906.80, 419,957.40 and 122,248.40 is: 183,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,906.80 : 419,957.40 = 122,248.40 : x
  2. Step 2: Convert to fraction form
    279,906.80/419,957.40 = 122,248.40/x
  3. Step 3: Cross multiply
    279,906.80x = 419,957.40 × 122,248.40
  4. Step 4: Simplify right side
    279,906.80x = 51,339,120,218.16
  5. Step 5: Solve for x
    x = 51,339,120,218.16/279,906.80
  6. Step 6: Final answer
    x = 183,415.05

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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.