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Finding the Fourth Proportional to 269,903.60, 404,207.40 and 144,969.20

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Solution

The fourth proportional to 269,903.60, 404,207.40 and 144,969.20 is: 217,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,903.60 : 404,207.40 = 144,969.20 : x
  2. Step 2: Convert to fraction form
    269,903.60/404,207.40 = 144,969.20/x
  3. Step 3: Cross multiply
    269,903.60x = 404,207.40 × 144,969.20
  4. Step 4: Simplify right side
    269,903.60x = 58,597,623,412.08
  5. Step 5: Solve for x
    x = 58,597,623,412.08/269,903.60
  6. Step 6: Final answer
    x = 217,105.75

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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.