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Finding the Fourth Proportional to 392,938.88, 542,255.66 and 214,090.88

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Solution

The fourth proportional to 392,938.88, 542,255.66 and 214,090.88 is: 295,445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,938.88 : 542,255.66 = 214,090.88 : x
  2. Step 2: Convert to fraction form
    392,938.88/542,255.66 = 214,090.88/x
  3. Step 3: Cross multiply
    392,938.88x = 542,255.66 × 214,090.88
  4. Step 4: Simplify right side
    392,938.88x = 116,091,991,434.38
  5. Step 5: Solve for x
    x = 116,091,991,434.38/392,938.88
  6. Step 6: Final answer
    x = 295,445.42

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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.