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Finding the Fourth Proportional to 267,515.20, 401,078.40 and 109,662.40

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Solution

The fourth proportional to 267,515.20, 401,078.40 and 109,662.40 is: 164,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,515.20 : 401,078.40 = 109,662.40 : x
  2. Step 2: Convert to fraction form
    267,515.20/401,078.40 = 109,662.40/x
  3. Step 3: Cross multiply
    267,515.20x = 401,078.40 × 109,662.40
  4. Step 4: Simplify right side
    267,515.20x = 43,983,219,932.16
  5. Step 5: Solve for x
    x = 43,983,219,932.16/267,515.20
  6. Step 6: Final answer
    x = 164,413.91

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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.