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Finding the Fourth Proportional to 654,448.60, 981,381.30 and 299,571.40

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Solution

The fourth proportional to 654,448.60, 981,381.30 and 299,571.40 is: 449,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,448.60 : 981,381.30 = 299,571.40 : x
  2. Step 2: Convert to fraction form
    654,448.60/981,381.30 = 299,571.40/x
  3. Step 3: Cross multiply
    654,448.60x = 981,381.30 × 299,571.40
  4. Step 4: Simplify right side
    654,448.60x = 293,993,769,974.82
  5. Step 5: Solve for x
    x = 293,993,769,974.82/654,448.60
  6. Step 6: Final answer
    x = 449,223.62

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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.