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Finding the Fourth Proportional to 412,665.95, 569,502.49 and 231,369.09

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Solution

The fourth proportional to 412,665.95, 569,502.49 and 231,369.09 is: 319,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,665.95 : 569,502.49 = 231,369.09 : x
  2. Step 2: Convert to fraction form
    412,665.95/569,502.49 = 231,369.09/x
  3. Step 3: Cross multiply
    412,665.95x = 569,502.49 × 231,369.09
  4. Step 4: Simplify right side
    412,665.95x = 131,765,274,437.97
  5. Step 5: Solve for x
    x = 131,765,274,437.97/412,665.95
  6. Step 6: Final answer
    x = 319,302.51

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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.