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Finding the Fourth Proportional to 269,171.40, 403,258.95 and 156,905.40

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Solution

The fourth proportional to 269,171.40, 403,258.95 and 156,905.40 is: 235,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,171.40 : 403,258.95 = 156,905.40 : x
  2. Step 2: Convert to fraction form
    269,171.40/403,258.95 = 156,905.40/x
  3. Step 3: Cross multiply
    269,171.40x = 403,258.95 × 156,905.40
  4. Step 4: Simplify right side
    269,171.40x = 63,273,506,853.33
  5. Step 5: Solve for x
    x = 63,273,506,853.33/269,171.40
  6. Step 6: Final answer
    x = 235,067.72

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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.