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Finding the Fourth Proportional to 322,419.70, 483,399.15 and 144,781.30

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Solution

The fourth proportional to 322,419.70, 483,399.15 and 144,781.30 is: 217,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,419.70 : 483,399.15 = 144,781.30 : x
  2. Step 2: Convert to fraction form
    322,419.70/483,399.15 = 144,781.30/x
  3. Step 3: Cross multiply
    322,419.70x = 483,399.15 × 144,781.30
  4. Step 4: Simplify right side
    322,419.70x = 69,987,157,355.90
  5. Step 5: Solve for x
    x = 69,987,157,355.90/322,419.70
  6. Step 6: Final answer
    x = 217,068.49

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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.