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Finding the Fourth Proportional to 359,405.64, 495,978.39 and 198,270.72

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Solution

The fourth proportional to 359,405.64, 495,978.39 and 198,270.72 is: 273,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,405.64 : 495,978.39 = 198,270.72 : x
  2. Step 2: Convert to fraction form
    359,405.64/495,978.39 = 198,270.72/x
  3. Step 3: Cross multiply
    359,405.64x = 495,978.39 × 198,270.72
  4. Step 4: Simplify right side
    359,405.64x = 98,337,992,489.74
  5. Step 5: Solve for x
    x = 98,337,992,489.74/359,405.64
  6. Step 6: Final answer
    x = 273,612.83

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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.