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Finding the Fourth Proportional to 324,248, 485,972.64 and 230,244.80

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Solution

The fourth proportional to 324,248, 485,972.64 and 230,244.80 is: 345,083.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,248 : 485,972.64 = 230,244.80 : x
  2. Step 2: Convert to fraction form
    324,248/485,972.64 = 230,244.80/x
  3. Step 3: Cross multiply
    324,248x = 485,972.64 × 230,244.80
  4. Step 4: Simplify right side
    324,248x = 111,892,673,302.27
  5. Step 5: Solve for x
    x = 111,892,673,302.27/324,248
  6. Step 6: Final answer
    x = 345,083.62

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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.