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Finding the Fourth Proportional to 538,090.50, 742,564.89 and 311,867.22

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Solution

The fourth proportional to 538,090.50, 742,564.89 and 311,867.22 is: 430,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,090.50 : 742,564.89 = 311,867.22 : x
  2. Step 2: Convert to fraction form
    538,090.50/742,564.89 = 311,867.22/x
  3. Step 3: Cross multiply
    538,090.50x = 742,564.89 × 311,867.22
  4. Step 4: Simplify right side
    538,090.50x = 231,581,647,913.91
  5. Step 5: Solve for x
    x = 231,581,647,913.91/538,090.50
  6. Step 6: Final answer
    x = 430,376.76

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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.