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Finding the Fourth Proportional to 323,851.06, 485,769.30 and 146,310.40

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Solution

The fourth proportional to 323,851.06, 485,769.30 and 146,310.40 is: 219,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,851.06 : 485,769.30 = 146,310.40 : x
  2. Step 2: Convert to fraction form
    323,851.06/485,769.30 = 146,310.40/x
  3. Step 3: Cross multiply
    323,851.06x = 485,769.30 × 146,310.40
  4. Step 4: Simplify right side
    323,851.06x = 71,073,100,590.72
  5. Step 5: Solve for x
    x = 71,073,100,590.72/323,851.06
  6. Step 6: Final answer
    x = 219,462.31

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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.