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Finding the Fourth Proportional to 415,892.10, 622,963.35 and 345,908.10

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Solution

The fourth proportional to 415,892.10, 622,963.35 and 345,908.10 is: 518,134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,892.10 : 622,963.35 = 345,908.10 : x
  2. Step 2: Convert to fraction form
    415,892.10/622,963.35 = 345,908.10/x
  3. Step 3: Cross multiply
    415,892.10x = 622,963.35 × 345,908.10
  4. Step 4: Simplify right side
    415,892.10x = 215,488,068,768.14
  5. Step 5: Solve for x
    x = 215,488,068,768.14/415,892.10
  6. Step 6: Final answer
    x = 518,134.56

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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.