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Finding the Fourth Proportional to 359,778.64, 496,491.72 and 198,634

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Solution

The fourth proportional to 359,778.64, 496,491.72 and 198,634 is: 274,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,778.64 : 496,491.72 = 198,634 : x
  2. Step 2: Convert to fraction form
    359,778.64/496,491.72 = 198,634/x
  3. Step 3: Cross multiply
    359,778.64x = 496,491.72 × 198,634
  4. Step 4: Simplify right side
    359,778.64x = 98,620,136,310.48
  5. Step 5: Solve for x
    x = 98,620,136,310.48/359,778.64
  6. Step 6: Final answer
    x = 274,113.37

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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.