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Finding the Fourth Proportional to 568,422.86, 784,429.02 and 313,768.58

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Solution

The fourth proportional to 568,422.86, 784,429.02 and 313,768.58 is: 433,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,422.86 : 784,429.02 = 313,768.58 : x
  2. Step 2: Convert to fraction form
    568,422.86/784,429.02 = 313,768.58/x
  3. Step 3: Cross multiply
    568,422.86x = 784,429.02 × 313,768.58
  4. Step 4: Simplify right side
    568,422.86x = 246,129,179,716.19
  5. Step 5: Solve for x
    x = 246,129,179,716.19/568,422.86
  6. Step 6: Final answer
    x = 433,003.66

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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.