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Finding the Fourth Proportional to 289,601.62, 399,661.05 and 162,272.50

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Solution

The fourth proportional to 289,601.62, 399,661.05 and 162,272.50 is: 223,942.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,601.62 : 399,661.05 = 162,272.50 : x
  2. Step 2: Convert to fraction form
    289,601.62/399,661.05 = 162,272.50/x
  3. Step 3: Cross multiply
    289,601.62x = 399,661.05 × 162,272.50
  4. Step 4: Simplify right side
    289,601.62x = 64,853,997,736.13
  5. Step 5: Solve for x
    x = 64,853,997,736.13/289,601.62
  6. Step 6: Final answer
    x = 223,942.11

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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.