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Finding the Fourth Proportional to 493,076.64, 680,448.96 and 289,081.92

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Solution

The fourth proportional to 493,076.64, 680,448.96 and 289,081.92 is: 398,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,076.64 : 680,448.96 = 289,081.92 : x
  2. Step 2: Convert to fraction form
    493,076.64/680,448.96 = 289,081.92/x
  3. Step 3: Cross multiply
    493,076.64x = 680,448.96 × 289,081.92
  4. Step 4: Simplify right side
    493,076.64x = 196,705,491,818.80
  5. Step 5: Solve for x
    x = 196,705,491,818.80/493,076.64
  6. Step 6: Final answer
    x = 398,934.92

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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.