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Finding the Fourth Proportional to 289,986.60, 400,171.06 and 160,930.72

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Solution

The fourth proportional to 289,986.60, 400,171.06 and 160,930.72 is: 222,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,986.60 : 400,171.06 = 160,930.72 : x
  2. Step 2: Convert to fraction form
    289,986.60/400,171.06 = 160,930.72/x
  3. Step 3: Cross multiply
    289,986.60x = 400,171.06 × 160,930.72
  4. Step 4: Simplify right side
    289,986.60x = 64,399,816,808.96
  5. Step 5: Solve for x
    x = 64,399,816,808.96/289,986.60
  6. Step 6: Final answer
    x = 222,078.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.