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Finding the Fourth Proportional to 278,823.88, 417,674.49 and 128,857.65

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Solution

The fourth proportional to 278,823.88, 417,674.49 and 128,857.65 is: 193,027.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,823.88 : 417,674.49 = 128,857.65 : x
  2. Step 2: Convert to fraction form
    278,823.88/417,674.49 = 128,857.65/x
  3. Step 3: Cross multiply
    278,823.88x = 417,674.49 × 128,857.65
  4. Step 4: Simplify right side
    278,823.88x = 53,820,553,246.35
  5. Step 5: Solve for x
    x = 53,820,553,246.35/278,823.88
  6. Step 6: Final answer
    x = 193,027.06

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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.