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Finding the Fourth Proportional to 538,757.84, 743,519.22 and 297,039.98

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Solution

The fourth proportional to 538,757.84, 743,519.22 and 297,039.98 is: 409,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,757.84 : 743,519.22 = 297,039.98 : x
  2. Step 2: Convert to fraction form
    538,757.84/743,519.22 = 297,039.98/x
  3. Step 3: Cross multiply
    538,757.84x = 743,519.22 × 297,039.98
  4. Step 4: Simplify right side
    538,757.84x = 220,854,934,238.42
  5. Step 5: Solve for x
    x = 220,854,934,238.42/538,757.84
  6. Step 6: Final answer
    x = 409,933.59

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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.