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Finding the Fourth Proportional to 393,096.80, 542,473.76 and 223,331.20

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Solution

The fourth proportional to 393,096.80, 542,473.76 and 223,331.20 is: 308,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,096.80 : 542,473.76 = 223,331.20 : x
  2. Step 2: Convert to fraction form
    393,096.80/542,473.76 = 223,331.20/x
  3. Step 3: Cross multiply
    393,096.80x = 542,473.76 × 223,331.20
  4. Step 4: Simplify right side
    393,096.80x = 121,151,315,789.31
  5. Step 5: Solve for x
    x = 121,151,315,789.31/393,096.80
  6. Step 6: Final answer
    x = 308,197.16

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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.