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Finding the Fourth Proportional to 321,439.92, 482,104.80 and 84,784.92

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Solution

The fourth proportional to 321,439.92, 482,104.80 and 84,784.92 is: 127,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,439.92 : 482,104.80 = 84,784.92 : x
  2. Step 2: Convert to fraction form
    321,439.92/482,104.80 = 84,784.92/x
  3. Step 3: Cross multiply
    321,439.92x = 482,104.80 × 84,784.92
  4. Step 4: Simplify right side
    321,439.92x = 40,875,216,899.62
  5. Step 5: Solve for x
    x = 40,875,216,899.62/321,439.92
  6. Step 6: Final answer
    x = 127,162.85

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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.