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Finding the Fourth Proportional to 215,298.46, 322,969.71 and 82,290.67

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Solution

The fourth proportional to 215,298.46, 322,969.71 and 82,290.67 is: 123,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,298.46 : 322,969.71 = 82,290.67 : x
  2. Step 2: Convert to fraction form
    215,298.46/322,969.71 = 82,290.67/x
  3. Step 3: Cross multiply
    215,298.46x = 322,969.71 × 82,290.67
  4. Step 4: Simplify right side
    215,298.46x = 26,577,393,825.61
  5. Step 5: Solve for x
    x = 26,577,393,825.61/215,298.46
  6. Step 6: Final answer
    x = 123,444.42

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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.