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Finding the Fourth Proportional to 393,101.28, 542,494.80 and 214,253.28

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Solution

The fourth proportional to 393,101.28, 542,494.80 and 214,253.28 is: 295,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,101.28 : 542,494.80 = 214,253.28 : x
  2. Step 2: Convert to fraction form
    393,101.28/542,494.80 = 214,253.28/x
  3. Step 3: Cross multiply
    393,101.28x = 542,494.80 × 214,253.28
  4. Step 4: Simplify right side
    393,101.28x = 116,231,290,282.94
  5. Step 5: Solve for x
    x = 116,231,290,282.94/393,101.28
  6. Step 6: Final answer
    x = 295,677.72

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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.