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Finding the Fourth Proportional to 268,833.72, 403,017.30 and 135,602.76

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Solution

The fourth proportional to 268,833.72, 403,017.30 and 135,602.76 is: 203,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,833.72 : 403,017.30 = 135,602.76 : x
  2. Step 2: Convert to fraction form
    268,833.72/403,017.30 = 135,602.76/x
  3. Step 3: Cross multiply
    268,833.72x = 403,017.30 × 135,602.76
  4. Step 4: Simplify right side
    268,833.72x = 54,650,258,207.75
  5. Step 5: Solve for x
    x = 54,650,258,207.75/268,833.72
  6. Step 6: Final answer
    x = 203,286.47

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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.