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Finding the Fourth Proportional to 299,634.75, 413,495.96 and 165,507.39

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Solution

The fourth proportional to 299,634.75, 413,495.96 and 165,507.39 is: 228,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,634.75 : 413,495.96 = 165,507.39 : x
  2. Step 2: Convert to fraction form
    299,634.75/413,495.96 = 165,507.39/x
  3. Step 3: Cross multiply
    299,634.75x = 413,495.96 × 165,507.39
  4. Step 4: Simplify right side
    299,634.75x = 68,436,636,287.61
  5. Step 5: Solve for x
    x = 68,436,636,287.61/299,634.75
  6. Step 6: Final answer
    x = 228,400.20

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1.5x scale

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.