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Finding the Fourth Proportional to 394,266.26, 544,086.88 and 212,978.14

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Solution

The fourth proportional to 394,266.26, 544,086.88 and 212,978.14 is: 293,909.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,266.26 : 544,086.88 = 212,978.14 : x
  2. Step 2: Convert to fraction form
    394,266.26/544,086.88 = 212,978.14/x
  3. Step 3: Cross multiply
    394,266.26x = 544,086.88 × 212,978.14
  4. Step 4: Simplify right side
    394,266.26x = 115,878,609,808.14
  5. Step 5: Solve for x
    x = 115,878,609,808.14/394,266.26
  6. Step 6: Final answer
    x = 293,909.52

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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.