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Finding the Fourth Proportional to 272,716.80, 409,046.40 and 85,718.40

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Solution

The fourth proportional to 272,716.80, 409,046.40 and 85,718.40 is: 128,568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,716.80 : 409,046.40 = 85,718.40 : x
  2. Step 2: Convert to fraction form
    272,716.80/409,046.40 = 85,718.40/x
  3. Step 3: Cross multiply
    272,716.80x = 409,046.40 × 85,718.40
  4. Step 4: Simplify right side
    272,716.80x = 35,062,802,933.76
  5. Step 5: Solve for x
    x = 35,062,802,933.76/272,716.80
  6. Step 6: Final answer
    x = 128,568.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.