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Finding the Fourth Proportional to 278,881.85, 384,748.29 and 206,458.10

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Solution

The fourth proportional to 278,881.85, 384,748.29 and 206,458.10 is: 284,831.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,881.85 : 384,748.29 = 206,458.10 : x
  2. Step 2: Convert to fraction form
    278,881.85/384,748.29 = 206,458.10/x
  3. Step 3: Cross multiply
    278,881.85x = 384,748.29 × 206,458.10
  4. Step 4: Simplify right side
    278,881.85x = 79,434,399,007.91
  5. Step 5: Solve for x
    x = 79,434,399,007.91/278,881.85
  6. Step 6: Final answer
    x = 284,831.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.