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Finding the Fourth Proportional to 395,947.86, 546,401.34 and 223,863

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Solution

The fourth proportional to 395,947.86, 546,401.34 and 223,863 is: 308,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,947.86 : 546,401.34 = 223,863 : x
  2. Step 2: Convert to fraction form
    395,947.86/546,401.34 = 223,863/x
  3. Step 3: Cross multiply
    395,947.86x = 546,401.34 × 223,863
  4. Step 4: Simplify right side
    395,947.86x = 122,319,043,176.42
  5. Step 5: Solve for x
    x = 122,319,043,176.42/395,947.86
  6. Step 6: Final answer
    x = 308,927.15

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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.