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Finding the Fourth Proportional to 378,513.57, 522,349.20 and 206,431.89

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Solution

The fourth proportional to 378,513.57, 522,349.20 and 206,431.89 is: 284,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,513.57 : 522,349.20 = 206,431.89 : x
  2. Step 2: Convert to fraction form
    378,513.57/522,349.20 = 206,431.89/x
  3. Step 3: Cross multiply
    378,513.57x = 522,349.20 × 206,431.89
  4. Step 4: Simplify right side
    378,513.57x = 107,829,532,595.99
  5. Step 5: Solve for x
    x = 107,829,532,595.99/378,513.57
  6. Step 6: Final answer
    x = 284,876.27

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1.5x scale

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.