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Finding the Fourth Proportional to 295,911, 408,357.18 and 161,775

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Solution

The fourth proportional to 295,911, 408,357.18 and 161,775 is: 223,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,911 : 408,357.18 = 161,775 : x
  2. Step 2: Convert to fraction form
    295,911/408,357.18 = 161,775/x
  3. Step 3: Cross multiply
    295,911x = 408,357.18 × 161,775
  4. Step 4: Simplify right side
    295,911x = 66,061,982,794.50
  5. Step 5: Solve for x
    x = 66,061,982,794.50/295,911
  6. Step 6: Final answer
    x = 223,249.50

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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.