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Finding the Fourth Proportional to 321,820.27, 482,740.35 and 161,902.71

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Solution

The fourth proportional to 321,820.27, 482,740.35 and 161,902.71 is: 242,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,820.27 : 482,740.35 = 161,902.71 : x
  2. Step 2: Convert to fraction form
    321,820.27/482,740.35 = 161,902.71/x
  3. Step 3: Cross multiply
    321,820.27x = 482,740.35 × 161,902.71
  4. Step 4: Simplify right side
    321,820.27x = 78,156,970,587.78
  5. Step 5: Solve for x
    x = 78,156,970,587.78/321,820.27
  6. Step 6: Final answer
    x = 242,859.07

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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.