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Finding the Fourth Proportional to 309,516, 427,132.08 and 168,204

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Solution

The fourth proportional to 309,516, 427,132.08 and 168,204 is: 232,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,516 : 427,132.08 = 168,204 : x
  2. Step 2: Convert to fraction form
    309,516/427,132.08 = 168,204/x
  3. Step 3: Cross multiply
    309,516x = 427,132.08 × 168,204
  4. Step 4: Simplify right side
    309,516x = 71,845,324,384.32
  5. Step 5: Solve for x
    x = 71,845,324,384.32/309,516
  6. Step 6: Final answer
    x = 232,121.52

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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.