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Finding the Fourth Proportional to 262,595.82, 362,016.84 and 221,928.56

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Solution

The fourth proportional to 262,595.82, 362,016.84 and 221,928.56 is: 305,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,595.82 : 362,016.84 = 221,928.56 : x
  2. Step 2: Convert to fraction form
    262,595.82/362,016.84 = 221,928.56/x
  3. Step 3: Cross multiply
    262,595.82x = 362,016.84 × 221,928.56
  4. Step 4: Simplify right side
    262,595.82x = 80,341,876,376.66
  5. Step 5: Solve for x
    x = 80,341,876,376.66/262,595.82
  6. Step 6: Final answer
    x = 305,952.61

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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.