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Finding the Fourth Proportional to 359,412.80, 495,993.12 and 198,274.64

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Solution

The fourth proportional to 359,412.80, 495,993.12 and 198,274.64 is: 273,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,412.80 : 495,993.12 = 198,274.64 : x
  2. Step 2: Convert to fraction form
    359,412.80/495,993.12 = 198,274.64/x
  3. Step 3: Cross multiply
    359,412.80x = 495,993.12 × 198,274.64
  4. Step 4: Simplify right side
    359,412.80x = 98,342,857,310.48
  5. Step 5: Solve for x
    x = 98,342,857,310.48/359,412.80
  6. Step 6: Final answer
    x = 273,620.91

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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.