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Finding the Fourth Proportional to 262,965.53, 394,798.22 and 138,394.01

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Solution

The fourth proportional to 262,965.53, 394,798.22 and 138,394.01 is: 207,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,965.53 : 394,798.22 = 138,394.01 : x
  2. Step 2: Convert to fraction form
    262,965.53/394,798.22 = 138,394.01/x
  3. Step 3: Cross multiply
    262,965.53x = 394,798.22 × 138,394.01
  4. Step 4: Simplify right side
    262,965.53x = 54,637,708,806.66
  5. Step 5: Solve for x
    x = 54,637,708,806.66/262,965.53
  6. Step 6: Final answer
    x = 207,775.17

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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.