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Finding the Fourth Proportional to 392,949, 542,269.62 and 214,101

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Solution

The fourth proportional to 392,949, 542,269.62 and 214,101 is: 295,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,949 : 542,269.62 = 214,101 : x
  2. Step 2: Convert to fraction form
    392,949/542,269.62 = 214,101/x
  3. Step 3: Cross multiply
    392,949x = 542,269.62 × 214,101
  4. Step 4: Simplify right side
    392,949x = 116,100,467,911.62
  5. Step 5: Solve for x
    x = 116,100,467,911.62/392,949
  6. Step 6: Final answer
    x = 295,459.38

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1.5x scale

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.