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Finding the Fourth Proportional to 510,353.91, 704,282.82 and 280,906.29

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Solution

The fourth proportional to 510,353.91, 704,282.82 and 280,906.29 is: 387,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,353.91 : 704,282.82 = 280,906.29 : x
  2. Step 2: Convert to fraction form
    510,353.91/704,282.82 = 280,906.29/x
  3. Step 3: Cross multiply
    510,353.91x = 704,282.82 × 280,906.29
  4. Step 4: Simplify right side
    510,353.91x = 197,837,474,076.94
  5. Step 5: Solve for x
    x = 197,837,474,076.94/510,353.91
  6. Step 6: Final answer
    x = 387,647.61

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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.