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Finding the Fourth Proportional to 409,414.28, 613,857.66 and 172,693.64

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Solution

The fourth proportional to 409,414.28, 613,857.66 and 172,693.64 is: 258,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,414.28 : 613,857.66 = 172,693.64 : x
  2. Step 2: Convert to fraction form
    409,414.28/613,857.66 = 172,693.64/x
  3. Step 3: Cross multiply
    409,414.28x = 613,857.66 × 172,693.64
  4. Step 4: Simplify right side
    409,414.28x = 106,009,313,747.28
  5. Step 5: Solve for x
    x = 106,009,313,747.28/409,414.28
  6. Step 6: Final answer
    x = 258,929.20

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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.