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Finding the Fourth Proportional to 538,489.14, 743,081.62 and 296,758.22

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Solution

The fourth proportional to 538,489.14, 743,081.62 and 296,758.22 is: 409,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,489.14 : 743,081.62 = 296,758.22 : x
  2. Step 2: Convert to fraction form
    538,489.14/743,081.62 = 296,758.22/x
  3. Step 3: Cross multiply
    538,489.14x = 743,081.62 × 296,758.22
  4. Step 4: Simplify right side
    538,489.14x = 220,515,578,865.92
  5. Step 5: Solve for x
    x = 220,515,578,865.92/538,489.14
  6. Step 6: Final answer
    x = 409,507.94

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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.