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Finding the Fourth Proportional to 399,138.72, 550,706.22 and 227,058.24

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Solution

The fourth proportional to 399,138.72, 550,706.22 and 227,058.24 is: 313,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,138.72 : 550,706.22 = 227,058.24 : x
  2. Step 2: Convert to fraction form
    399,138.72/550,706.22 = 227,058.24/x
  3. Step 3: Cross multiply
    399,138.72x = 550,706.22 × 227,058.24
  4. Step 4: Simplify right side
    399,138.72x = 125,042,385,070.25
  5. Step 5: Solve for x
    x = 125,042,385,070.25/399,138.72
  6. Step 6: Final answer
    x = 313,280.52

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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.