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Finding the Fourth Proportional to 267,810.86, 401,564.06 and 206,999.62

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Solution

The fourth proportional to 267,810.86, 401,564.06 and 206,999.62 is: 310,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,810.86 : 401,564.06 = 206,999.62 : x
  2. Step 2: Convert to fraction form
    267,810.86/401,564.06 = 206,999.62/x
  3. Step 3: Cross multiply
    267,810.86x = 401,564.06 × 206,999.62
  4. Step 4: Simplify right side
    267,810.86x = 83,123,606,790.66
  5. Step 5: Solve for x
    x = 83,123,606,790.66/267,810.86
  6. Step 6: Final answer
    x = 310,381.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.