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Finding the Fourth Proportional to 243,422.40, 365,078.40 and 110,214.72

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Solution

The fourth proportional to 243,422.40, 365,078.40 and 110,214.72 is: 165,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,422.40 : 365,078.40 = 110,214.72 : x
  2. Step 2: Convert to fraction form
    243,422.40/365,078.40 = 110,214.72/x
  3. Step 3: Cross multiply
    243,422.40x = 365,078.40 × 110,214.72
  4. Step 4: Simplify right side
    243,422.40x = 40,237,013,634.05
  5. Step 5: Solve for x
    x = 40,237,013,634.05/243,422.40
  6. Step 6: Final answer
    x = 165,297.09

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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.