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Finding the Fourth Proportional to 568,471.91, 784,486.42 and 313,817.63

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Solution

The fourth proportional to 568,471.91, 784,486.42 and 313,817.63 is: 433,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,471.91 : 784,486.42 = 313,817.63 : x
  2. Step 2: Convert to fraction form
    568,471.91/784,486.42 = 313,817.63/x
  3. Step 3: Cross multiply
    568,471.91x = 784,486.42 × 313,817.63
  4. Step 4: Simplify right side
    568,471.91x = 246,185,664,384.61
  5. Step 5: Solve for x
    x = 246,185,664,384.61/568,471.91
  6. Step 6: Final answer
    x = 433,065.67

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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.