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Finding the Fourth Proportional to 307,855.30, 460,908.15 and 272,863.30

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Solution

The fourth proportional to 307,855.30, 460,908.15 and 272,863.30 is: 408,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,855.30 : 460,908.15 = 272,863.30 : x
  2. Step 2: Convert to fraction form
    307,855.30/460,908.15 = 272,863.30/x
  3. Step 3: Cross multiply
    307,855.30x = 460,908.15 × 272,863.30
  4. Step 4: Simplify right side
    307,855.30x = 125,764,918,805.90
  5. Step 5: Solve for x
    x = 125,764,918,805.90/307,855.30
  6. Step 6: Final answer
    x = 408,519.58

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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.