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Finding the Fourth Proportional to 538,404.93, 743,031.33 and 296,687.09

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Solution

The fourth proportional to 538,404.93, 743,031.33 and 296,687.09 is: 409,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,404.93 : 743,031.33 = 296,687.09 : x
  2. Step 2: Convert to fraction form
    538,404.93/743,031.33 = 296,687.09/x
  3. Step 3: Cross multiply
    538,404.93x = 743,031.33 × 296,687.09
  4. Step 4: Simplify right side
    538,404.93x = 220,447,801,593.09
  5. Step 5: Solve for x
    x = 220,447,801,593.09/538,404.93
  6. Step 6: Final answer
    x = 409,446.11

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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.