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Finding the Fourth Proportional to 394,683.52, 592,180.96 and 172,912

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Solution

The fourth proportional to 394,683.52, 592,180.96 and 172,912 is: 259,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,683.52 : 592,180.96 = 172,912 : x
  2. Step 2: Convert to fraction form
    394,683.52/592,180.96 = 172,912/x
  3. Step 3: Cross multiply
    394,683.52x = 592,180.96 × 172,912
  4. Step 4: Simplify right side
    394,683.52x = 102,395,194,155.52
  5. Step 5: Solve for x
    x = 102,395,194,155.52/394,683.52
  6. Step 6: Final answer
    x = 259,436.20

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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.