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Finding the Fourth Proportional to 493,881.28, 681,542.17 and 289,928.95

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Solution

The fourth proportional to 493,881.28, 681,542.17 and 289,928.95 is: 400,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,881.28 : 681,542.17 = 289,928.95 : x
  2. Step 2: Convert to fraction form
    493,881.28/681,542.17 = 289,928.95/x
  3. Step 3: Cross multiply
    493,881.28x = 681,542.17 × 289,928.95
  4. Step 4: Simplify right side
    493,881.28x = 197,598,803,300.14
  5. Step 5: Solve for x
    x = 197,598,803,300.14/493,881.28
  6. Step 6: Final answer
    x = 400,093.73

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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.