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Finding the Fourth Proportional to 359,012.54, 495,456.78 and 206,049.50

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Solution

The fourth proportional to 359,012.54, 495,456.78 and 206,049.50 is: 284,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,012.54 : 495,456.78 = 206,049.50 : x
  2. Step 2: Convert to fraction form
    359,012.54/495,456.78 = 206,049.50/x
  3. Step 3: Cross multiply
    359,012.54x = 495,456.78 × 206,049.50
  4. Step 4: Simplify right side
    359,012.54x = 102,088,621,790.61
  5. Step 5: Solve for x
    x = 102,088,621,790.61/359,012.54
  6. Step 6: Final answer
    x = 284,359.49

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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.