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Finding the Fourth Proportional to 323,414.20, 485,121.30 and 146,121.40

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Solution

The fourth proportional to 323,414.20, 485,121.30 and 146,121.40 is: 219,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,414.20 : 485,121.30 = 146,121.40 : x
  2. Step 2: Convert to fraction form
    323,414.20/485,121.30 = 146,121.40/x
  3. Step 3: Cross multiply
    323,414.20x = 485,121.30 × 146,121.40
  4. Step 4: Simplify right side
    323,414.20x = 70,886,603,525.82
  5. Step 5: Solve for x
    x = 70,886,603,525.82/323,414.20
  6. Step 6: Final answer
    x = 219,182.10

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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.