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Finding the Fourth Proportional to 323,680.60, 485,405.70 and 146,272.60

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Solution

The fourth proportional to 323,680.60, 485,405.70 and 146,272.60 is: 219,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,680.60 : 485,405.70 = 146,272.60 : x
  2. Step 2: Convert to fraction form
    323,680.60/485,405.70 = 146,272.60/x
  3. Step 3: Cross multiply
    323,680.60x = 485,405.70 × 146,272.60
  4. Step 4: Simplify right side
    323,680.60x = 71,001,553,793.82
  5. Step 5: Solve for x
    x = 71,001,553,793.82/323,680.60
  6. Step 6: Final answer
    x = 219,356.84

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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.