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Finding the Fourth Proportional to 219,219.70, 328,832.12 and 77,069.14

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Solution

The fourth proportional to 219,219.70, 328,832.12 and 77,069.14 is: 115,604.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,219.70 : 328,832.12 = 77,069.14 : x
  2. Step 2: Convert to fraction form
    219,219.70/328,832.12 = 77,069.14/x
  3. Step 3: Cross multiply
    219,219.70x = 328,832.12 × 77,069.14
  4. Step 4: Simplify right side
    219,219.70x = 25,342,808,692.78
  5. Step 5: Solve for x
    x = 25,342,808,692.78/219,219.70
  6. Step 6: Final answer
    x = 115,604.61

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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.