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Finding the Fourth Proportional to 219,191.82, 328,709.97 and 78,912.78

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Solution

The fourth proportional to 219,191.82, 328,709.97 and 78,912.78 is: 118,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,191.82 : 328,709.97 = 78,912.78 : x
  2. Step 2: Convert to fraction form
    219,191.82/328,709.97 = 78,912.78/x
  3. Step 3: Cross multiply
    219,191.82x = 328,709.97 × 78,912.78
  4. Step 4: Simplify right side
    219,191.82x = 25,939,417,546.42
  5. Step 5: Solve for x
    x = 25,939,417,546.42/219,191.82
  6. Step 6: Final answer
    x = 118,341.18

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1.5x scale

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.