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Finding the Fourth Proportional to 359,516, 496,132.08 and 200,540

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Solution

The fourth proportional to 359,516, 496,132.08 and 200,540 is: 276,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,516 : 496,132.08 = 200,540 : x
  2. Step 2: Convert to fraction form
    359,516/496,132.08 = 200,540/x
  3. Step 3: Cross multiply
    359,516x = 496,132.08 × 200,540
  4. Step 4: Simplify right side
    359,516x = 99,494,327,323.20
  5. Step 5: Solve for x
    x = 99,494,327,323.20/359,516
  6. Step 6: Final answer
    x = 276,745.20

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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.