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Finding the Fourth Proportional to 538,234.24, 742,743.84 and 311,836

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Solution

The fourth proportional to 538,234.24, 742,743.84 and 311,836 is: 430,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,234.24 : 742,743.84 = 311,836 : x
  2. Step 2: Convert to fraction form
    538,234.24/742,743.84 = 311,836/x
  3. Step 3: Cross multiply
    538,234.24x = 742,743.84 × 311,836
  4. Step 4: Simplify right side
    538,234.24x = 231,614,268,090.24
  5. Step 5: Solve for x
    x = 231,614,268,090.24/538,234.24
  6. Step 6: Final answer
    x = 430,322.43

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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.