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Finding the Fourth Proportional to 510,418.80, 704,371.02 and 284,064.30

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Solution

The fourth proportional to 510,418.80, 704,371.02 and 284,064.30 is: 392,004.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,418.80 : 704,371.02 = 284,064.30 : x
  2. Step 2: Convert to fraction form
    510,418.80/704,371.02 = 284,064.30/x
  3. Step 3: Cross multiply
    510,418.80x = 704,371.02 × 284,064.30
  4. Step 4: Simplify right side
    510,418.80x = 200,086,660,736.59
  5. Step 5: Solve for x
    x = 200,086,660,736.59/510,418.80
  6. Step 6: Final answer
    x = 392,004.88

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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.