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Finding the Fourth Proportional to 359,239.20, 495,783.24 and 206,297.40

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Solution

The fourth proportional to 359,239.20, 495,783.24 and 206,297.40 is: 284,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,239.20 : 495,783.24 = 206,297.40 : x
  2. Step 2: Convert to fraction form
    359,239.20/495,783.24 = 206,297.40/x
  3. Step 3: Cross multiply
    359,239.20x = 495,783.24 × 206,297.40
  4. Step 4: Simplify right side
    359,239.20x = 102,278,793,375.58
  5. Step 5: Solve for x
    x = 102,278,793,375.58/359,239.20
  6. Step 6: Final answer
    x = 284,709.45

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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.