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Finding the Fourth Proportional to 394,341.53, 591,260.10 and 234,374.78

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Solution

The fourth proportional to 394,341.53, 591,260.10 and 234,374.78 is: 351,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,341.53 : 591,260.10 = 234,374.78 : x
  2. Step 2: Convert to fraction form
    394,341.53/591,260.10 = 234,374.78/x
  3. Step 3: Cross multiply
    394,341.53x = 591,260.10 × 234,374.78
  4. Step 4: Simplify right side
    394,341.53x = 138,576,456,459.52
  5. Step 5: Solve for x
    x = 138,576,456,459.52/394,341.53
  6. Step 6: Final answer
    x = 351,412.29

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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.