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Finding the Fourth Proportional to 493,542.28, 681,047.22 and 289,571.88

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Solution

The fourth proportional to 493,542.28, 681,047.22 and 289,571.88 is: 399,585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,542.28 : 681,047.22 = 289,571.88 : x
  2. Step 2: Convert to fraction form
    493,542.28/681,047.22 = 289,571.88/x
  3. Step 3: Cross multiply
    493,542.28x = 681,047.22 × 289,571.88
  4. Step 4: Simplify right side
    493,542.28x = 197,212,123,864.17
  5. Step 5: Solve for x
    x = 197,212,123,864.17/493,542.28
  6. Step 6: Final answer
    x = 399,585.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.