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Finding the Fourth Proportional to 568,429.44, 784,439.04 and 313,780.80

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Solution

The fourth proportional to 568,429.44, 784,439.04 and 313,780.80 is: 433,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,429.44 : 784,439.04 = 313,780.80 : x
  2. Step 2: Convert to fraction form
    568,429.44/784,439.04 = 313,780.80/x
  3. Step 3: Cross multiply
    568,429.44x = 784,439.04 × 313,780.80
  4. Step 4: Simplify right side
    568,429.44x = 246,141,909,522.43
  5. Step 5: Solve for x
    x = 246,141,909,522.43/568,429.44
  6. Step 6: Final answer
    x = 433,021.04

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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.