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Finding the Fourth Proportional to 394,322.78, 544,165.70 and 213,034.61

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Solution

The fourth proportional to 394,322.78, 544,165.70 and 213,034.61 is: 293,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,322.78 : 544,165.70 = 213,034.61 : x
  2. Step 2: Convert to fraction form
    394,322.78/544,165.70 = 213,034.61/x
  3. Step 3: Cross multiply
    394,322.78x = 544,165.70 × 213,034.61
  4. Step 4: Simplify right side
    394,322.78x = 115,926,124,909.19
  5. Step 5: Solve for x
    x = 115,926,124,909.19/394,322.78
  6. Step 6: Final answer
    x = 293,987.90

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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.