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Finding the Fourth Proportional to 269,275.70, 403,923.80 and 100,778.28

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Solution

The fourth proportional to 269,275.70, 403,923.80 and 100,778.28 is: 151,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,275.70 : 403,923.80 = 100,778.28 : x
  2. Step 2: Convert to fraction form
    269,275.70/403,923.80 = 100,778.28/x
  3. Step 3: Cross multiply
    269,275.70x = 403,923.80 × 100,778.28
  4. Step 4: Simplify right side
    269,275.70x = 40,706,745,815.06
  5. Step 5: Solve for x
    x = 40,706,745,815.06/269,275.70
  6. Step 6: Final answer
    x = 151,171.26

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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.