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Finding the Fourth Proportional to 392,888, 542,185.44 and 214,040

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Solution

The fourth proportional to 392,888, 542,185.44 and 214,040 is: 295,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,888 : 542,185.44 = 214,040 : x
  2. Step 2: Convert to fraction form
    392,888/542,185.44 = 214,040/x
  3. Step 3: Cross multiply
    392,888x = 542,185.44 × 214,040
  4. Step 4: Simplify right side
    392,888x = 116,049,371,577.60
  5. Step 5: Solve for x
    x = 116,049,371,577.60/392,888
  6. Step 6: Final answer
    x = 295,375.20

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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.