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Finding the Fourth Proportional to 392,947.88, 542,268.07 and 214,099.88

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Solution

The fourth proportional to 392,947.88, 542,268.07 and 214,099.88 is: 295,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,947.88 : 542,268.07 = 214,099.88 : x
  2. Step 2: Convert to fraction form
    392,947.88/542,268.07 = 214,099.88/x
  3. Step 3: Cross multiply
    392,947.88x = 542,268.07 × 214,099.88
  4. Step 4: Simplify right side
    392,947.88x = 116,099,525,468.24
  5. Step 5: Solve for x
    x = 116,099,525,468.24/392,947.88
  6. Step 6: Final answer
    x = 295,457.83

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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.