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Finding the Fourth Proportional to 268,034.40, 401,905.80 and 110,278.80

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Solution

The fourth proportional to 268,034.40, 401,905.80 and 110,278.80 is: 165,358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,034.40 : 401,905.80 = 110,278.80 : x
  2. Step 2: Convert to fraction form
    268,034.40/401,905.80 = 110,278.80/x
  3. Step 3: Cross multiply
    268,034.40x = 401,905.80 × 110,278.80
  4. Step 4: Simplify right side
    268,034.40x = 44,321,689,337.04
  5. Step 5: Solve for x
    x = 44,321,689,337.04/268,034.40
  6. Step 6: Final answer
    x = 165,358.21

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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.