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Finding the Fourth Proportional to 372,769, 514,469.84 and 221,866

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Solution

The fourth proportional to 372,769, 514,469.84 and 221,866 is: 306,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,769 : 514,469.84 = 221,866 : x
  2. Step 2: Convert to fraction form
    372,769/514,469.84 = 221,866/x
  3. Step 3: Cross multiply
    372,769x = 514,469.84 × 221,866
  4. Step 4: Simplify right side
    372,769x = 114,143,365,521.44
  5. Step 5: Solve for x
    x = 114,143,365,521.44/372,769
  6. Step 6: Final answer
    x = 306,204.02

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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.