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Finding the Fourth Proportional to 394,069.32, 591,208.44 and 141,374.68

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Solution

The fourth proportional to 394,069.32, 591,208.44 and 141,374.68 is: 212,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,069.32 : 591,208.44 = 141,374.68 : x
  2. Step 2: Convert to fraction form
    394,069.32/591,208.44 = 141,374.68/x
  3. Step 3: Cross multiply
    394,069.32x = 591,208.44 × 141,374.68
  4. Step 4: Simplify right side
    394,069.32x = 83,581,904,018.30
  5. Step 5: Solve for x
    x = 83,581,904,018.30/394,069.32
  6. Step 6: Final answer
    x = 212,099.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.