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Finding the Fourth Proportional to 322,872.71, 484,418.06 and 142,933.32

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Solution

The fourth proportional to 322,872.71, 484,418.06 and 142,933.32 is: 214,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,872.71 : 484,418.06 = 142,933.32 : x
  2. Step 2: Convert to fraction form
    322,872.71/484,418.06 = 142,933.32/x
  3. Step 3: Cross multiply
    322,872.71x = 484,418.06 × 142,933.32
  4. Step 4: Simplify right side
    322,872.71x = 69,239,480,869.09
  5. Step 5: Solve for x
    x = 69,239,480,869.09/322,872.71
  6. Step 6: Final answer
    x = 214,448.23

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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.