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Finding the Fourth Proportional to 392,856, 542,141.28 and 214,008

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Solution

The fourth proportional to 392,856, 542,141.28 and 214,008 is: 295,331.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,856 : 542,141.28 = 214,008 : x
  2. Step 2: Convert to fraction form
    392,856/542,141.28 = 214,008/x
  3. Step 3: Cross multiply
    392,856x = 542,141.28 × 214,008
  4. Step 4: Simplify right side
    392,856x = 116,022,571,050.24
  5. Step 5: Solve for x
    x = 116,022,571,050.24/392,856
  6. Step 6: Final answer
    x = 295,331.04

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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.