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Finding the Fourth Proportional to 542,563.52, 814,027.61 and 380,626.35

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Solution

The fourth proportional to 542,563.52, 814,027.61 and 380,626.35 is: 571,067.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,563.52 : 814,027.61 = 380,626.35 : x
  2. Step 2: Convert to fraction form
    542,563.52/814,027.61 = 380,626.35/x
  3. Step 3: Cross multiply
    542,563.52x = 814,027.61 × 380,626.35
  4. Step 4: Simplify right side
    542,563.52x = 309,840,357,993.52
  5. Step 5: Solve for x
    x = 309,840,357,993.52/542,563.52
  6. Step 6: Final answer
    x = 571,067.44

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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.