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Finding the Fourth Proportional to 400,713, 552,983.94 and 221,876.52

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Solution

The fourth proportional to 400,713, 552,983.94 and 221,876.52 is: 306,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,713 : 552,983.94 = 221,876.52 : x
  2. Step 2: Convert to fraction form
    400,713/552,983.94 = 221,876.52/x
  3. Step 3: Cross multiply
    400,713x = 552,983.94 × 221,876.52
  4. Step 4: Simplify right side
    400,713x = 122,694,152,223.09
  5. Step 5: Solve for x
    x = 122,694,152,223.09/400,713
  6. Step 6: Final answer
    x = 306,189.60

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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.