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Finding the Fourth Proportional to 262,718.40, 394,104.96 and 85,218.24

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Solution

The fourth proportional to 262,718.40, 394,104.96 and 85,218.24 is: 127,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,718.40 : 394,104.96 = 85,218.24 : x
  2. Step 2: Convert to fraction form
    262,718.40/394,104.96 = 85,218.24/x
  3. Step 3: Cross multiply
    262,718.40x = 394,104.96 × 85,218.24
  4. Step 4: Simplify right side
    262,718.40x = 33,584,931,066.47
  5. Step 5: Solve for x
    x = 33,584,931,066.47/262,718.40
  6. Step 6: Final answer
    x = 127,836.23

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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.