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Finding the Fourth Proportional to 391,640.34, 540,461.79 and 221,874.06

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Solution

The fourth proportional to 391,640.34, 540,461.79 and 221,874.06 is: 306,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,640.34 : 540,461.79 = 221,874.06 : x
  2. Step 2: Convert to fraction form
    391,640.34/540,461.79 = 221,874.06/x
  3. Step 3: Cross multiply
    391,640.34x = 540,461.79 × 221,874.06
  4. Step 4: Simplify right side
    391,640.34x = 119,914,451,622.17
  5. Step 5: Solve for x
    x = 119,914,451,622.17/391,640.34
  6. Step 6: Final answer
    x = 306,185.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.