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Finding the Fourth Proportional to 359,884.08, 496,656 and 206,971.92

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Solution

The fourth proportional to 359,884.08, 496,656 and 206,971.92 is: 285,630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,884.08 : 496,656 = 206,971.92 : x
  2. Step 2: Convert to fraction form
    359,884.08/496,656 = 206,971.92/x
  3. Step 3: Cross multiply
    359,884.08x = 496,656 × 206,971.92
  4. Step 4: Simplify right side
    359,884.08x = 102,793,845,899.52
  5. Step 5: Solve for x
    x = 102,793,845,899.52/359,884.08
  6. Step 6: Final answer
    x = 285,630.43

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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.