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Finding the Fourth Proportional to 295,467, 407,744.64 and 161,331

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Solution

The fourth proportional to 295,467, 407,744.64 and 161,331 is: 222,636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,467 : 407,744.64 = 161,331 : x
  2. Step 2: Convert to fraction form
    295,467/407,744.64 = 161,331/x
  3. Step 3: Cross multiply
    295,467x = 407,744.64 × 161,331
  4. Step 4: Simplify right side
    295,467x = 65,781,850,515.84
  5. Step 5: Solve for x
    x = 65,781,850,515.84/295,467
  6. Step 6: Final answer
    x = 222,636.88

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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.