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Finding the Fourth Proportional to 360,126.51, 496,961.22 and 198,978.09

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Solution

The fourth proportional to 360,126.51, 496,961.22 and 198,978.09 is: 274,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,126.51 : 496,961.22 = 198,978.09 : x
  2. Step 2: Convert to fraction form
    360,126.51/496,961.22 = 198,978.09/x
  3. Step 3: Cross multiply
    360,126.51x = 496,961.22 × 198,978.09
  4. Step 4: Simplify right side
    360,126.51x = 98,884,394,359.67
  5. Step 5: Solve for x
    x = 98,884,394,359.67/360,126.51
  6. Step 6: Final answer
    x = 274,582.38

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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.