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Finding the Fourth Proportional to 392,952, 542,273.76 and 214,104

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Solution

The fourth proportional to 392,952, 542,273.76 and 214,104 is: 295,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,952 : 542,273.76 = 214,104 : x
  2. Step 2: Convert to fraction form
    392,952/542,273.76 = 214,104/x
  3. Step 3: Cross multiply
    392,952x = 542,273.76 × 214,104
  4. Step 4: Simplify right side
    392,952x = 116,102,981,111.04
  5. Step 5: Solve for x
    x = 116,102,981,111.04/392,952
  6. Step 6: Final answer
    x = 295,463.52

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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.