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Finding the Fourth Proportional to 521,900.72, 782,846.94 and 310,136.24

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Solution

The fourth proportional to 521,900.72, 782,846.94 and 310,136.24 is: 465,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,900.72 : 782,846.94 = 310,136.24 : x
  2. Step 2: Convert to fraction form
    521,900.72/782,846.94 = 310,136.24/x
  3. Step 3: Cross multiply
    521,900.72x = 782,846.94 × 310,136.24
  4. Step 4: Simplify right side
    521,900.72x = 242,789,206,467.11
  5. Step 5: Solve for x
    x = 242,789,206,467.11/521,900.72
  6. Step 6: Final answer
    x = 465,201.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.