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Finding the Fourth Proportional to 493,629.06, 740,471.28 and 138,615.40

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Solution

The fourth proportional to 493,629.06, 740,471.28 and 138,615.40 is: 207,930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,629.06 : 740,471.28 = 138,615.40 : x
  2. Step 2: Convert to fraction form
    493,629.06/740,471.28 = 138,615.40/x
  3. Step 3: Cross multiply
    493,629.06x = 740,471.28 × 138,615.40
  4. Step 4: Simplify right side
    493,629.06x = 102,640,718,963.36
  5. Step 5: Solve for x
    x = 102,640,718,963.36/493,629.06
  6. Step 6: Final answer
    x = 207,930.87

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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.