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Finding the Fourth Proportional to 275,411.48, 379,853.58 and 199,216.40

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Solution

The fourth proportional to 275,411.48, 379,853.58 and 199,216.40 is: 274,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,411.48 : 379,853.58 = 199,216.40 : x
  2. Step 2: Convert to fraction form
    275,411.48/379,853.58 = 199,216.40/x
  3. Step 3: Cross multiply
    275,411.48x = 379,853.58 × 199,216.40
  4. Step 4: Simplify right side
    275,411.48x = 75,673,062,734.71
  5. Step 5: Solve for x
    x = 75,673,062,734.71/275,411.48
  6. Step 6: Final answer
    x = 274,763.65

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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.