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Finding the Fourth Proportional to 206,411.70, 309,617.55 and 185,744.55

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Solution

The fourth proportional to 206,411.70, 309,617.55 and 185,744.55 is: 278,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,411.70 : 309,617.55 = 185,744.55 : x
  2. Step 2: Convert to fraction form
    206,411.70/309,617.55 = 185,744.55/x
  3. Step 3: Cross multiply
    206,411.70x = 309,617.55 × 185,744.55
  4. Step 4: Simplify right side
    206,411.70x = 57,509,772,496.85
  5. Step 5: Solve for x
    x = 57,509,772,496.85/206,411.70
  6. Step 6: Final answer
    x = 278,616.83

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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.