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Finding the Fourth Proportional to 314,913.20, 471,217.80 and 231,969.20

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Solution

The fourth proportional to 314,913.20, 471,217.80 and 231,969.20 is: 347,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,913.20 : 471,217.80 = 231,969.20 : x
  2. Step 2: Convert to fraction form
    314,913.20/471,217.80 = 231,969.20/x
  3. Step 3: Cross multiply
    314,913.20x = 471,217.80 × 231,969.20
  4. Step 4: Simplify right side
    314,913.20x = 109,308,016,091.76
  5. Step 5: Solve for x
    x = 109,308,016,091.76/314,913.20
  6. Step 6: Final answer
    x = 347,105.22

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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.