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Finding the Fourth Proportional to 392,972, 542,301.44 and 214,124

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Solution

The fourth proportional to 392,972, 542,301.44 and 214,124 is: 295,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,972 : 542,301.44 = 214,124 : x
  2. Step 2: Convert to fraction form
    392,972/542,301.44 = 214,124/x
  3. Step 3: Cross multiply
    392,972x = 542,301.44 × 214,124
  4. Step 4: Simplify right side
    392,972x = 116,119,753,538.56
  5. Step 5: Solve for x
    x = 116,119,753,538.56/392,972
  6. Step 6: Final answer
    x = 295,491.16

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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.