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Finding the Fourth Proportional to 314,605.64, 471,441.81 and 231,091.40

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Solution

The fourth proportional to 314,605.64, 471,441.81 and 231,091.40 is: 346,294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,605.64 : 471,441.81 = 231,091.40 : x
  2. Step 2: Convert to fraction form
    314,605.64/471,441.81 = 231,091.40/x
  3. Step 3: Cross multiply
    314,605.64x = 471,441.81 × 231,091.40
  4. Step 4: Simplify right side
    314,605.64x = 108,946,147,891.43
  5. Step 5: Solve for x
    x = 108,946,147,891.43/314,605.64
  6. Step 6: Final answer
    x = 346,294.33

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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.