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Finding the Fourth Proportional to 307,103.68, 458,253.22 and 275,188.52

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Solution

The fourth proportional to 307,103.68, 458,253.22 and 275,188.52 is: 410,630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,103.68 : 458,253.22 = 275,188.52 : x
  2. Step 2: Convert to fraction form
    307,103.68/458,253.22 = 275,188.52/x
  3. Step 3: Cross multiply
    307,103.68x = 458,253.22 × 275,188.52
  4. Step 4: Simplify right side
    307,103.68x = 126,106,025,397.03
  5. Step 5: Solve for x
    x = 126,106,025,397.03/307,103.68
  6. Step 6: Final answer
    x = 410,630.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.