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Finding the Fourth Proportional to 295,463, 407,740.02 and 161,327

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Solution

The fourth proportional to 295,463, 407,740.02 and 161,327 is: 222,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,463 : 407,740.02 = 161,327 : x
  2. Step 2: Convert to fraction form
    295,463/407,740.02 = 161,327/x
  3. Step 3: Cross multiply
    295,463x = 407,740.02 × 161,327
  4. Step 4: Simplify right side
    295,463x = 65,779,474,206.54
  5. Step 5: Solve for x
    x = 65,779,474,206.54/295,463
  6. Step 6: Final answer
    x = 222,631.85

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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.