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Finding the Fourth Proportional to 409,809.16, 614,947.02 and 269,633.80

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Solution

The fourth proportional to 409,809.16, 614,947.02 and 269,633.80 is: 404,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,809.16 : 614,947.02 = 269,633.80 : x
  2. Step 2: Convert to fraction form
    409,809.16/614,947.02 = 269,633.80/x
  3. Step 3: Cross multiply
    409,809.16x = 614,947.02 × 269,633.80
  4. Step 4: Simplify right side
    409,809.16x = 165,810,501,801.28
  5. Step 5: Solve for x
    x = 165,810,501,801.28/409,809.16
  6. Step 6: Final answer
    x = 404,604.19

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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.