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Finding the Fourth Proportional to 359,205.64, 495,704.81 and 198,057.15

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Solution

The fourth proportional to 359,205.64, 495,704.81 and 198,057.15 is: 273,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,205.64 : 495,704.81 = 198,057.15 : x
  2. Step 2: Convert to fraction form
    359,205.64/495,704.81 = 198,057.15/x
  3. Step 3: Cross multiply
    359,205.64x = 495,704.81 × 198,057.15
  4. Step 4: Simplify right side
    359,205.64x = 98,177,882,405.03
  5. Step 5: Solve for x
    x = 98,177,882,405.03/359,205.64
  6. Step 6: Final answer
    x = 273,319.44

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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.