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Finding the Fourth Proportional to 395,945.86, 546,398.58 and 223,861

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Solution

The fourth proportional to 395,945.86, 546,398.58 and 223,861 is: 308,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,945.86 : 546,398.58 = 223,861 : x
  2. Step 2: Convert to fraction form
    395,945.86/546,398.58 = 223,861/x
  3. Step 3: Cross multiply
    395,945.86x = 546,398.58 × 223,861
  4. Step 4: Simplify right side
    395,945.86x = 122,317,332,517.38
  5. Step 5: Solve for x
    x = 122,317,332,517.38/395,945.86
  6. Step 6: Final answer
    x = 308,924.39

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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.