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Finding the Fourth Proportional to 359,419.26, 495,977.31 and 198,274.62

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Solution

The fourth proportional to 359,419.26, 495,977.31 and 198,274.62 is: 273,607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,419.26 : 495,977.31 = 198,274.62 : x
  2. Step 2: Convert to fraction form
    359,419.26/495,977.31 = 198,274.62/x
  3. Step 3: Cross multiply
    359,419.26x = 495,977.31 × 198,274.62
  4. Step 4: Simplify right side
    359,419.26x = 98,339,712,668.87
  5. Step 5: Solve for x
    x = 98,339,712,668.87/359,419.26
  6. Step 6: Final answer
    x = 273,607.24

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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.