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Finding the Fourth Proportional to 393,318.54, 542,774.52 and 223,541.46

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Solution

The fourth proportional to 393,318.54, 542,774.52 and 223,541.46 is: 308,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,318.54 : 542,774.52 = 223,541.46 : x
  2. Step 2: Convert to fraction form
    393,318.54/542,774.52 = 223,541.46/x
  3. Step 3: Cross multiply
    393,318.54x = 542,774.52 × 223,541.46
  4. Step 4: Simplify right side
    393,318.54x = 121,332,608,651.60
  5. Step 5: Solve for x
    x = 121,332,608,651.60/393,318.54
  6. Step 6: Final answer
    x = 308,484.34

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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.