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Finding the Fourth Proportional to 322,809.30, 445,294.80 and 193,714.74

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Solution

The fourth proportional to 322,809.30, 445,294.80 and 193,714.74 is: 267,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,809.30 : 445,294.80 = 193,714.74 : x
  2. Step 2: Convert to fraction form
    322,809.30/445,294.80 = 193,714.74/x
  3. Step 3: Cross multiply
    322,809.30x = 445,294.80 × 193,714.74
  4. Step 4: Simplify right side
    322,809.30x = 86,260,166,405.35
  5. Step 5: Solve for x
    x = 86,260,166,405.35/322,809.30
  6. Step 6: Final answer
    x = 267,217.10

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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.