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Finding the Fourth Proportional to 359,293.80, 495,802.50 and 198,150

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Solution

The fourth proportional to 359,293.80, 495,802.50 and 198,150 is: 273,434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,293.80 : 495,802.50 = 198,150 : x
  2. Step 2: Convert to fraction form
    359,293.80/495,802.50 = 198,150/x
  3. Step 3: Cross multiply
    359,293.80x = 495,802.50 × 198,150
  4. Step 4: Simplify right side
    359,293.80x = 98,243,265,375
  5. Step 5: Solve for x
    x = 98,243,265,375/359,293.80
  6. Step 6: Final answer
    x = 273,434.35

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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.