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Finding the Fourth Proportional to 510,399.90, 704,375.19 and 284,059.98

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Solution

The fourth proportional to 510,399.90, 704,375.19 and 284,059.98 is: 392,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,399.90 : 704,375.19 = 284,059.98 : x
  2. Step 2: Convert to fraction form
    510,399.90/704,375.19 = 284,059.98/x
  3. Step 3: Cross multiply
    510,399.90x = 704,375.19 × 284,059.98
  4. Step 4: Simplify right side
    510,399.90x = 200,084,802,383.90
  5. Step 5: Solve for x
    x = 200,084,802,383.90/510,399.90
  6. Step 6: Final answer
    x = 392,015.76

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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.