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Finding the Fourth Proportional to 359,416.84, 495,995.24 and 198,272.28

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Solution

The fourth proportional to 359,416.84, 495,995.24 and 198,272.28 is: 273,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,416.84 : 495,995.24 = 198,272.28 : x
  2. Step 2: Convert to fraction form
    359,416.84/495,995.24 = 198,272.28/x
  3. Step 3: Cross multiply
    359,416.84x = 495,995.24 × 198,272.28
  4. Step 4: Simplify right side
    359,416.84x = 98,342,107,103.95
  5. Step 5: Solve for x
    x = 98,342,107,103.95/359,416.84
  6. Step 6: Final answer
    x = 273,615.75

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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.