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Finding the Fourth Proportional to 261,384.78, 391,552.17 and 221,231.58

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Solution

The fourth proportional to 261,384.78, 391,552.17 and 221,231.58 is: 331,403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,384.78 : 391,552.17 = 221,231.58 : x
  2. Step 2: Convert to fraction form
    261,384.78/391,552.17 = 221,231.58/x
  3. Step 3: Cross multiply
    261,384.78x = 391,552.17 × 221,231.58
  4. Step 4: Simplify right side
    261,384.78x = 86,623,705,221.53
  5. Step 5: Solve for x
    x = 86,623,705,221.53/261,384.78
  6. Step 6: Final answer
    x = 331,403.02

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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.