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Finding the Fourth Proportional to 320,432.10, 480,606.44 and 83,793.03

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Solution

The fourth proportional to 320,432.10, 480,606.44 and 83,793.03 is: 125,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,432.10 : 480,606.44 = 83,793.03 : x
  2. Step 2: Convert to fraction form
    320,432.10/480,606.44 = 83,793.03/x
  3. Step 3: Cross multiply
    320,432.10x = 480,606.44 × 83,793.03
  4. Step 4: Simplify right side
    320,432.10x = 40,271,469,426.15
  5. Step 5: Solve for x
    x = 40,271,469,426.15/320,432.10
  6. Step 6: Final answer
    x = 125,678.64

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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.