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Finding the Fourth Proportional to 323,743.60, 485,615.40 and 199,154.80

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Solution

The fourth proportional to 323,743.60, 485,615.40 and 199,154.80 is: 298,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,743.60 : 485,615.40 = 199,154.80 : x
  2. Step 2: Convert to fraction form
    323,743.60/485,615.40 = 199,154.80/x
  3. Step 3: Cross multiply
    323,743.60x = 485,615.40 × 199,154.80
  4. Step 4: Simplify right side
    323,743.60x = 96,712,637,863.92
  5. Step 5: Solve for x
    x = 96,712,637,863.92/323,743.60
  6. Step 6: Final answer
    x = 298,732.20

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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.