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Finding the Fourth Proportional to 305,954.80, 422,227.02 and 185,118.28

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Solution

The fourth proportional to 305,954.80, 422,227.02 and 185,118.28 is: 255,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,954.80 : 422,227.02 = 185,118.28 : x
  2. Step 2: Convert to fraction form
    305,954.80/422,227.02 = 185,118.28/x
  3. Step 3: Cross multiply
    305,954.80x = 422,227.02 × 185,118.28
  4. Step 4: Simplify right side
    305,954.80x = 78,161,939,711.93
  5. Step 5: Solve for x
    x = 78,161,939,711.93/305,954.80
  6. Step 6: Final answer
    x = 255,468.91

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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.