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Finding the Fourth Proportional to 394,482.56, 544,386 and 213,193.88

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Solution

The fourth proportional to 394,482.56, 544,386 and 213,193.88 is: 294,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,482.56 : 544,386 = 213,193.88 : x
  2. Step 2: Convert to fraction form
    394,482.56/544,386 = 213,193.88/x
  3. Step 3: Cross multiply
    394,482.56x = 544,386 × 213,193.88
  4. Step 4: Simplify right side
    394,482.56x = 116,059,763,557.68
  5. Step 5: Solve for x
    x = 116,059,763,557.68/394,482.56
  6. Step 6: Final answer
    x = 294,207.59

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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.