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Finding the Fourth Proportional to 393,008.48, 542,328 and 231,914

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Solution

The fourth proportional to 393,008.48, 542,328 and 231,914 is: 320,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,008.48 : 542,328 = 231,914 : x
  2. Step 2: Convert to fraction form
    393,008.48/542,328 = 231,914/x
  3. Step 3: Cross multiply
    393,008.48x = 542,328 × 231,914
  4. Step 4: Simplify right side
    393,008.48x = 125,773,455,792
  5. Step 5: Solve for x
    x = 125,773,455,792/393,008.48
  6. Step 6: Final answer
    x = 320,027.33

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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.