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Finding the Fourth Proportional to 568,458.06, 784,451.57 and 313,803.78

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Solution

The fourth proportional to 568,458.06, 784,451.57 and 313,803.78 is: 433,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,458.06 : 784,451.57 = 313,803.78 : x
  2. Step 2: Convert to fraction form
    568,458.06/784,451.57 = 313,803.78/x
  3. Step 3: Cross multiply
    568,458.06x = 784,451.57 × 313,803.78
  4. Step 4: Simplify right side
    568,458.06x = 246,163,866,323.92
  5. Step 5: Solve for x
    x = 246,163,866,323.92/568,458.06
  6. Step 6: Final answer
    x = 433,037.87

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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.