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Finding the Fourth Proportional to 321,871.68, 482,695.20 and 132,277.68

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Solution

The fourth proportional to 321,871.68, 482,695.20 and 132,277.68 is: 198,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,871.68 : 482,695.20 = 132,277.68 : x
  2. Step 2: Convert to fraction form
    321,871.68/482,695.20 = 132,277.68/x
  3. Step 3: Cross multiply
    321,871.68x = 482,695.20 × 132,277.68
  4. Step 4: Simplify right side
    321,871.68x = 63,849,801,203.14
  5. Step 5: Solve for x
    x = 63,849,801,203.14/321,871.68
  6. Step 6: Final answer
    x = 198,370.36

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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.