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Finding the Fourth Proportional to 359,200, 495,741 and 206,286.16

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Solution

The fourth proportional to 359,200, 495,741 and 206,286.16 is: 284,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,200 : 495,741 = 206,286.16 : x
  2. Step 2: Convert to fraction form
    359,200/495,741 = 206,286.16/x
  3. Step 3: Cross multiply
    359,200x = 495,741 × 206,286.16
  4. Step 4: Simplify right side
    359,200x = 102,264,507,244.56
  5. Step 5: Solve for x
    x = 102,264,507,244.56/359,200
  6. Step 6: Final answer
    x = 284,700.74

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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.