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Finding the Fourth Proportional to 538,202.70, 742,663.89 and 331,438.20

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Solution

The fourth proportional to 538,202.70, 742,663.89 and 331,438.20 is: 457,350.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,202.70 : 742,663.89 = 331,438.20 : x
  2. Step 2: Convert to fraction form
    538,202.70/742,663.89 = 331,438.20/x
  3. Step 3: Cross multiply
    538,202.70x = 742,663.89 × 331,438.20
  4. Step 4: Simplify right side
    538,202.70x = 246,147,182,906.60
  5. Step 5: Solve for x
    x = 246,147,182,906.60/538,202.70
  6. Step 6: Final answer
    x = 457,350.33

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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.