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Finding the Fourth Proportional to 393,004.68, 542,317.32 and 223,206

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Solution

The fourth proportional to 393,004.68, 542,317.32 and 223,206 is: 308,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,004.68 : 542,317.32 = 223,206 : x
  2. Step 2: Convert to fraction form
    393,004.68/542,317.32 = 223,206/x
  3. Step 3: Cross multiply
    393,004.68x = 542,317.32 × 223,206
  4. Step 4: Simplify right side
    393,004.68x = 121,048,479,727.92
  5. Step 5: Solve for x
    x = 121,048,479,727.92/393,004.68
  6. Step 6: Final answer
    x = 308,007.73

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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.