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Finding the Fourth Proportional to 269,380.40, 403,973.40 and 109,389.20

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Solution

The fourth proportional to 269,380.40, 403,973.40 and 109,389.20 is: 164,044.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,380.40 : 403,973.40 = 109,389.20 : x
  2. Step 2: Convert to fraction form
    269,380.40/403,973.40 = 109,389.20/x
  3. Step 3: Cross multiply
    269,380.40x = 403,973.40 × 109,389.20
  4. Step 4: Simplify right side
    269,380.40x = 44,190,327,047.28
  5. Step 5: Solve for x
    x = 44,190,327,047.28/269,380.40
  6. Step 6: Final answer
    x = 164,044.33

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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.