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Finding the Fourth Proportional to 299,366, 413,125.62 and 165,230

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Solution

The fourth proportional to 299,366, 413,125.62 and 165,230 is: 228,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,366 : 413,125.62 = 165,230 : x
  2. Step 2: Convert to fraction form
    299,366/413,125.62 = 165,230/x
  3. Step 3: Cross multiply
    299,366x = 413,125.62 × 165,230
  4. Step 4: Simplify right side
    299,366x = 68,260,746,192.60
  5. Step 5: Solve for x
    x = 68,260,746,192.60/299,366
  6. Step 6: Final answer
    x = 228,017.70

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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.