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Finding the Fourth Proportional to 314,163.60, 471,072.60 and 136,640.40

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Solution

The fourth proportional to 314,163.60, 471,072.60 and 136,640.40 is: 204,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,163.60 : 471,072.60 = 136,640.40 : x
  2. Step 2: Convert to fraction form
    314,163.60/471,072.60 = 136,640.40/x
  3. Step 3: Cross multiply
    314,163.60x = 471,072.60 × 136,640.40
  4. Step 4: Simplify right side
    314,163.60x = 64,367,548,493.04
  5. Step 5: Solve for x
    x = 64,367,548,493.04/314,163.60
  6. Step 6: Final answer
    x = 204,885.44

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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.