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Finding the Fourth Proportional to 542,563.40, 814,233.90 and 305,654.60

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Solution

The fourth proportional to 542,563.40, 814,233.90 and 305,654.60 is: 458,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,563.40 : 814,233.90 = 305,654.60 : x
  2. Step 2: Convert to fraction form
    542,563.40/814,233.90 = 305,654.60/x
  3. Step 3: Cross multiply
    542,563.40x = 814,233.90 × 305,654.60
  4. Step 4: Simplify right side
    542,563.40x = 248,874,337,010.94
  5. Step 5: Solve for x
    x = 248,874,337,010.94/542,563.40
  6. Step 6: Final answer
    x = 458,700.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.