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Finding the Fourth Proportional to 320,103.18, 480,654.15 and 305,905.92

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Solution

The fourth proportional to 320,103.18, 480,654.15 and 305,905.92 is: 459,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,103.18 : 480,654.15 = 305,905.92 : x
  2. Step 2: Convert to fraction form
    320,103.18/480,654.15 = 305,905.92/x
  3. Step 3: Cross multiply
    320,103.18x = 480,654.15 × 305,905.92
  4. Step 4: Simplify right side
    320,103.18x = 147,034,949,957.57
  5. Step 5: Solve for x
    x = 147,034,949,957.57/320,103.18
  6. Step 6: Final answer
    x = 459,336.11

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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.