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Finding the Fourth Proportional to 323,821.80, 485,586.90 and 146,237.40

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Solution

The fourth proportional to 323,821.80, 485,586.90 and 146,237.40 is: 219,290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,821.80 : 485,586.90 = 146,237.40 : x
  2. Step 2: Convert to fraction form
    323,821.80/485,586.90 = 146,237.40/x
  3. Step 3: Cross multiply
    323,821.80x = 485,586.90 × 146,237.40
  4. Step 4: Simplify right side
    323,821.80x = 71,010,965,730.06
  5. Step 5: Solve for x
    x = 71,010,965,730.06/323,821.80
  6. Step 6: Final answer
    x = 219,290.26

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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.