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Finding the Fourth Proportional to 359,141.85, 495,645.28 and 198,012.20

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Solution

The fourth proportional to 359,141.85, 495,645.28 and 198,012.20 is: 273,273.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,141.85 : 495,645.28 = 198,012.20 : x
  2. Step 2: Convert to fraction form
    359,141.85/495,645.28 = 198,012.20/x
  3. Step 3: Cross multiply
    359,141.85x = 495,645.28 × 198,012.20
  4. Step 4: Simplify right side
    359,141.85x = 98,143,809,339.16
  5. Step 5: Solve for x
    x = 98,143,809,339.16/359,141.85
  6. Step 6: Final answer
    x = 273,273.11

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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.