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Finding the Fourth Proportional to 453,778.80, 680,509.47 and 133,845.78

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Solution

The fourth proportional to 453,778.80, 680,509.47 and 133,845.78 is: 200,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,778.80 : 680,509.47 = 133,845.78 : x
  2. Step 2: Convert to fraction form
    453,778.80/680,509.47 = 133,845.78/x
  3. Step 3: Cross multiply
    453,778.80x = 680,509.47 × 133,845.78
  4. Step 4: Simplify right side
    453,778.80x = 91,083,320,809.54
  5. Step 5: Solve for x
    x = 91,083,320,809.54/453,778.80
  6. Step 6: Final answer
    x = 200,721.85

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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.