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Finding the Fourth Proportional to 323,743.60, 485,615.40 and 312,857.20

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Solution

The fourth proportional to 323,743.60, 485,615.40 and 312,857.20 is: 469,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,743.60 : 485,615.40 = 312,857.20 : x
  2. Step 2: Convert to fraction form
    323,743.60/485,615.40 = 312,857.20/x
  3. Step 3: Cross multiply
    323,743.60x = 485,615.40 × 312,857.20
  4. Step 4: Simplify right side
    323,743.60x = 151,928,274,320.88
  5. Step 5: Solve for x
    x = 151,928,274,320.88/323,743.60
  6. Step 6: Final answer
    x = 469,285.80

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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.