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Finding the Fourth Proportional to 522,011.48, 783,021.82 and 206,468.34

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Solution

The fourth proportional to 522,011.48, 783,021.82 and 206,468.34 is: 309,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,011.48 : 783,021.82 = 206,468.34 : x
  2. Step 2: Convert to fraction form
    522,011.48/783,021.82 = 206,468.34/x
  3. Step 3: Cross multiply
    522,011.48x = 783,021.82 × 206,468.34
  4. Step 4: Simplify right side
    522,011.48x = 161,669,215,359.18
  5. Step 5: Solve for x
    x = 161,669,215,359.18/522,011.48
  6. Step 6: Final answer
    x = 309,704.33

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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.