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Finding the Fourth Proportional to 493,694.72, 681,323.52 and 289,754.48

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Solution

The fourth proportional to 493,694.72, 681,323.52 and 289,754.48 is: 399,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,694.72 : 681,323.52 = 289,754.48 : x
  2. Step 2: Convert to fraction form
    493,694.72/681,323.52 = 289,754.48/x
  3. Step 3: Cross multiply
    493,694.72x = 681,323.52 × 289,754.48
  4. Step 4: Simplify right side
    493,694.72x = 197,416,542,249.37
  5. Step 5: Solve for x
    x = 197,416,542,249.37/493,694.72
  6. Step 6: Final answer
    x = 399,875.74

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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.