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Finding the Fourth Proportional to 359,407.64, 495,981.15 and 198,272.72

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Solution

The fourth proportional to 359,407.64, 495,981.15 and 198,272.72 is: 273,615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,407.64 : 495,981.15 = 198,272.72 : x
  2. Step 2: Convert to fraction form
    359,407.64/495,981.15 = 198,272.72/x
  3. Step 3: Cross multiply
    359,407.64x = 495,981.15 × 198,272.72
  4. Step 4: Simplify right side
    359,407.64x = 98,339,531,679.23
  5. Step 5: Solve for x
    x = 98,339,531,679.23/359,407.64
  6. Step 6: Final answer
    x = 273,615.59

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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.