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Finding the Fourth Proportional to 295,569, 407,887.38 and 161,433

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Solution

The fourth proportional to 295,569, 407,887.38 and 161,433 is: 222,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,569 : 407,887.38 = 161,433 : x
  2. Step 2: Convert to fraction form
    295,569/407,887.38 = 161,433/x
  3. Step 3: Cross multiply
    295,569x = 407,887.38 × 161,433
  4. Step 4: Simplify right side
    295,569x = 65,846,483,415.54
  5. Step 5: Solve for x
    x = 65,846,483,415.54/295,569
  6. Step 6: Final answer
    x = 222,778.72

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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.