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Finding the Fourth Proportional to 510,401.30, 704,346.87 and 284,046.80

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Solution

The fourth proportional to 510,401.30, 704,346.87 and 284,046.80 is: 391,980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,401.30 : 704,346.87 = 284,046.80 : x
  2. Step 2: Convert to fraction form
    510,401.30/704,346.87 = 284,046.80/x
  3. Step 3: Cross multiply
    510,401.30x = 704,346.87 × 284,046.80
  4. Step 4: Simplify right side
    510,401.30x = 200,067,474,513.52
  5. Step 5: Solve for x
    x = 200,067,474,513.52/510,401.30
  6. Step 6: Final answer
    x = 391,980.73

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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.