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Finding the Fourth Proportional to 305,414.20, 458,217.30 and 147,647.80

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Solution

The fourth proportional to 305,414.20, 458,217.30 and 147,647.80 is: 221,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,414.20 : 458,217.30 = 147,647.80 : x
  2. Step 2: Convert to fraction form
    305,414.20/458,217.30 = 147,647.80/x
  3. Step 3: Cross multiply
    305,414.20x = 458,217.30 × 147,647.80
  4. Step 4: Simplify right side
    305,414.20x = 67,654,776,266.94
  5. Step 5: Solve for x
    x = 67,654,776,266.94/305,414.20
  6. Step 6: Final answer
    x = 221,518.11

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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.