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Finding the Fourth Proportional to 320,456.92, 480,687 and 83,800.12

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Solution

The fourth proportional to 320,456.92, 480,687 and 83,800.12 is: 125,700.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,456.92 : 480,687 = 83,800.12 : x
  2. Step 2: Convert to fraction form
    320,456.92/480,687 = 83,800.12/x
  3. Step 3: Cross multiply
    320,456.92x = 480,687 × 83,800.12
  4. Step 4: Simplify right side
    320,456.92x = 40,281,628,282.44
  5. Step 5: Solve for x
    x = 40,281,628,282.44/320,456.92
  6. Step 6: Final answer
    x = 125,700.60

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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.