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Finding the Fourth Proportional to 321,439.82, 482,192.13 and 84,798.86

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Solution

The fourth proportional to 321,439.82, 482,192.13 and 84,798.86 is: 127,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,439.82 : 482,192.13 = 84,798.86 : x
  2. Step 2: Convert to fraction form
    321,439.82/482,192.13 = 84,798.86/x
  3. Step 3: Cross multiply
    321,439.82x = 482,192.13 × 84,798.86
  4. Step 4: Simplify right side
    321,439.82x = 40,889,342,924.97
  5. Step 5: Solve for x
    x = 40,889,342,924.97/321,439.82
  6. Step 6: Final answer
    x = 127,206.84

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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.