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Finding the Fourth Proportional to 322,872, 484,310.40 and 112,509.60

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Solution

The fourth proportional to 322,872, 484,310.40 and 112,509.60 is: 168,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,872 : 484,310.40 = 112,509.60 : x
  2. Step 2: Convert to fraction form
    322,872/484,310.40 = 112,509.60/x
  3. Step 3: Cross multiply
    322,872x = 484,310.40 × 112,509.60
  4. Step 4: Simplify right side
    322,872x = 54,489,569,379.84
  5. Step 5: Solve for x
    x = 54,489,569,379.84/322,872
  6. Step 6: Final answer
    x = 168,765.24

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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.