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Finding the Fourth Proportional to 269,021.40, 403,434.90 and 109,030.20

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Solution

The fourth proportional to 269,021.40, 403,434.90 and 109,030.20 is: 163,505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,021.40 : 403,434.90 = 109,030.20 : x
  2. Step 2: Convert to fraction form
    269,021.40/403,434.90 = 109,030.20/x
  3. Step 3: Cross multiply
    269,021.40x = 403,434.90 × 109,030.20
  4. Step 4: Simplify right side
    269,021.40x = 43,986,587,833.98
  5. Step 5: Solve for x
    x = 43,986,587,833.98/269,021.40
  6. Step 6: Final answer
    x = 163,505.91

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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.