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Finding the Fourth Proportional to 392,864, 542,152.32 and 214,016

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Solution

The fourth proportional to 392,864, 542,152.32 and 214,016 is: 295,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,864 : 542,152.32 = 214,016 : x
  2. Step 2: Convert to fraction form
    392,864/542,152.32 = 214,016/x
  3. Step 3: Cross multiply
    392,864x = 542,152.32 × 214,016
  4. Step 4: Simplify right side
    392,864x = 116,029,270,917.12
  5. Step 5: Solve for x
    x = 116,029,270,917.12/392,864
  6. Step 6: Final answer
    x = 295,342.08

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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.