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Finding the Fourth Proportional to 398,780.78, 550,302.27 and 219,932.78

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Solution

The fourth proportional to 398,780.78, 550,302.27 and 219,932.78 is: 303,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,780.78 : 550,302.27 = 219,932.78 : x
  2. Step 2: Convert to fraction form
    398,780.78/550,302.27 = 219,932.78/x
  3. Step 3: Cross multiply
    398,780.78x = 550,302.27 × 219,932.78
  4. Step 4: Simplify right side
    398,780.78x = 121,029,508,081.41
  5. Step 5: Solve for x
    x = 121,029,508,081.41/398,780.78
  6. Step 6: Final answer
    x = 303,498.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.