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Finding the Fourth Proportional to 314,620.20, 471,930.30 and 305,872.20

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Solution

The fourth proportional to 314,620.20, 471,930.30 and 305,872.20 is: 458,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,620.20 : 471,930.30 = 305,872.20 : x
  2. Step 2: Convert to fraction form
    314,620.20/471,930.30 = 305,872.20/x
  3. Step 3: Cross multiply
    314,620.20x = 471,930.30 × 305,872.20
  4. Step 4: Simplify right side
    314,620.20x = 144,350,359,107.66
  5. Step 5: Solve for x
    x = 144,350,359,107.66/314,620.20
  6. Step 6: Final answer
    x = 458,808.30

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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.