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Finding the Fourth Proportional to 218,794.80, 328,192.20 and 185,989.80

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Solution

The fourth proportional to 218,794.80, 328,192.20 and 185,989.80 is: 278,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,794.80 : 328,192.20 = 185,989.80 : x
  2. Step 2: Convert to fraction form
    218,794.80/328,192.20 = 185,989.80/x
  3. Step 3: Cross multiply
    218,794.80x = 328,192.20 × 185,989.80
  4. Step 4: Simplify right side
    218,794.80x = 61,040,401,639.56
  5. Step 5: Solve for x
    x = 61,040,401,639.56/218,794.80
  6. Step 6: Final answer
    x = 278,984.70

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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.