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Finding the Fourth Proportional to 362,135.40, 542,987.10 and 221,994.60

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Solution

The fourth proportional to 362,135.40, 542,987.10 and 221,994.60 is: 332,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,135.40 : 542,987.10 = 221,994.60 : x
  2. Step 2: Convert to fraction form
    362,135.40/542,987.10 = 221,994.60/x
  3. Step 3: Cross multiply
    362,135.40x = 542,987.10 × 221,994.60
  4. Step 4: Simplify right side
    362,135.40x = 120,540,204,069.66
  5. Step 5: Solve for x
    x = 120,540,204,069.66/362,135.40
  6. Step 6: Final answer
    x = 332,859.49

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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.