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Finding the Fourth Proportional to 305,944.44, 458,251.20 and 147,840

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Solution

The fourth proportional to 305,944.44, 458,251.20 and 147,840 is: 221,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,944.44 : 458,251.20 = 147,840 : x
  2. Step 2: Convert to fraction form
    305,944.44/458,251.20 = 147,840/x
  3. Step 3: Cross multiply
    305,944.44x = 458,251.20 × 147,840
  4. Step 4: Simplify right side
    305,944.44x = 67,747,857,408
  5. Step 5: Solve for x
    x = 67,747,857,408/305,944.44
  6. Step 6: Final answer
    x = 221,438.43

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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.