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Finding the Fourth Proportional to 321,979.60, 482,969.40 and 188,923.60

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Solution

The fourth proportional to 321,979.60, 482,969.40 and 188,923.60 is: 283,385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,979.60 : 482,969.40 = 188,923.60 : x
  2. Step 2: Convert to fraction form
    321,979.60/482,969.40 = 188,923.60/x
  3. Step 3: Cross multiply
    321,979.60x = 482,969.40 × 188,923.60
  4. Step 4: Simplify right side
    321,979.60x = 91,244,317,737.84
  5. Step 5: Solve for x
    x = 91,244,317,737.84/321,979.60
  6. Step 6: Final answer
    x = 283,385.40

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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.