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Finding the Fourth Proportional to 393,274.71, 542,719.22 and 223,504.47

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Solution

The fourth proportional to 393,274.71, 542,719.22 and 223,504.47 is: 308,436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,274.71 : 542,719.22 = 223,504.47 : x
  2. Step 2: Convert to fraction form
    393,274.71/542,719.22 = 223,504.47/x
  3. Step 3: Cross multiply
    393,274.71x = 542,719.22 × 223,504.47
  4. Step 4: Simplify right side
    393,274.71x = 121,300,170,507.39
  5. Step 5: Solve for x
    x = 121,300,170,507.39/393,274.71
  6. Step 6: Final answer
    x = 308,436.23

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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.