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Finding the Fourth Proportional to 393,463.74, 542,960.74 and 223,694.22

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Solution

The fourth proportional to 393,463.74, 542,960.74 and 223,694.22 is: 308,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,463.74 : 542,960.74 = 223,694.22 : x
  2. Step 2: Convert to fraction form
    393,463.74/542,960.74 = 223,694.22/x
  3. Step 3: Cross multiply
    393,463.74x = 542,960.74 × 223,694.22
  4. Step 4: Simplify right side
    393,463.74x = 121,457,179,224.92
  5. Step 5: Solve for x
    x = 121,457,179,224.92/393,463.74
  6. Step 6: Final answer
    x = 308,687.10

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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.