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Finding the Fourth Proportional to 268,859.28, 403,538.01 and 135,833.28

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Solution

The fourth proportional to 268,859.28, 403,538.01 and 135,833.28 is: 203,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,859.28 : 403,538.01 = 135,833.28 : x
  2. Step 2: Convert to fraction form
    268,859.28/403,538.01 = 135,833.28/x
  3. Step 3: Cross multiply
    268,859.28x = 403,538.01 × 135,833.28
  4. Step 4: Simplify right side
    268,859.28x = 54,813,891,502.97
  5. Step 5: Solve for x
    x = 54,813,891,502.97/268,859.28
  6. Step 6: Final answer
    x = 203,875.77

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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.