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Finding the Fourth Proportional to 538,131.27, 742,593.72 and 296,408.64

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Solution

The fourth proportional to 538,131.27, 742,593.72 and 296,408.64 is: 409,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,131.27 : 742,593.72 = 296,408.64 : x
  2. Step 2: Convert to fraction form
    538,131.27/742,593.72 = 296,408.64/x
  3. Step 3: Cross multiply
    538,131.27x = 742,593.72 × 296,408.64
  4. Step 4: Simplify right side
    538,131.27x = 220,111,194,617.74
  5. Step 5: Solve for x
    x = 220,111,194,617.74/538,131.27
  6. Step 6: Final answer
    x = 409,028.81

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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.