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Finding the Fourth Proportional to 521,600.72, 782,401.05 and 284,814.23

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Solution

The fourth proportional to 521,600.72, 782,401.05 and 284,814.23 is: 427,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,600.72 : 782,401.05 = 284,814.23 : x
  2. Step 2: Convert to fraction form
    521,600.72/782,401.05 = 284,814.23/x
  3. Step 3: Cross multiply
    521,600.72x = 782,401.05 × 284,814.23
  4. Step 4: Simplify right side
    521,600.72x = 222,838,948,694.94
  5. Step 5: Solve for x
    x = 222,838,948,694.94/521,600.72
  6. Step 6: Final answer
    x = 427,221.33

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1.5x scale

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.