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Finding the Fourth Proportional to 307,092.48, 460,481.28 and 140,736

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Solution

The fourth proportional to 307,092.48, 460,481.28 and 140,736 is: 211,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,092.48 : 460,481.28 = 140,736 : x
  2. Step 2: Convert to fraction form
    307,092.48/460,481.28 = 140,736/x
  3. Step 3: Cross multiply
    307,092.48x = 460,481.28 × 140,736
  4. Step 4: Simplify right side
    307,092.48x = 64,806,293,422.08
  5. Step 5: Solve for x
    x = 64,806,293,422.08/307,092.48
  6. Step 6: Final answer
    x = 211,031.85

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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.