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Finding the Fourth Proportional to 305,996.56, 422,154.26 and 176,911.32

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Solution

The fourth proportional to 305,996.56, 422,154.26 and 176,911.32 is: 244,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,996.56 : 422,154.26 = 176,911.32 : x
  2. Step 2: Convert to fraction form
    305,996.56/422,154.26 = 176,911.32/x
  3. Step 3: Cross multiply
    305,996.56x = 422,154.26 × 176,911.32
  4. Step 4: Simplify right side
    305,996.56x = 74,683,864,384.90
  5. Step 5: Solve for x
    x = 74,683,864,384.90/305,996.56
  6. Step 6: Final answer
    x = 244,067.66

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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.