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Finding the Fourth Proportional to 322,405.60, 483,705.60 and 172,717.60

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Solution

The fourth proportional to 322,405.60, 483,705.60 and 172,717.60 is: 259,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,405.60 : 483,705.60 = 172,717.60 : x
  2. Step 2: Convert to fraction form
    322,405.60/483,705.60 = 172,717.60/x
  3. Step 3: Cross multiply
    322,405.60x = 483,705.60 × 172,717.60
  4. Step 4: Simplify right side
    322,405.60x = 83,544,470,338.56
  5. Step 5: Solve for x
    x = 83,544,470,338.56/322,405.60
  6. Step 6: Final answer
    x = 259,128.47

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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.