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Finding the Fourth Proportional to 360,965.76, 498,126.78 and 199,817.40

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Solution

The fourth proportional to 360,965.76, 498,126.78 and 199,817.40 is: 275,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,965.76 : 498,126.78 = 199,817.40 : x
  2. Step 2: Convert to fraction form
    360,965.76/498,126.78 = 199,817.40/x
  3. Step 3: Cross multiply
    360,965.76x = 498,126.78 × 199,817.40
  4. Step 4: Simplify right side
    360,965.76x = 99,534,398,049.97
  5. Step 5: Solve for x
    x = 99,534,398,049.97/360,965.76
  6. Step 6: Final answer
    x = 275,744.71

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1.5x scale

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.