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Finding the Fourth Proportional to 295,616, 407,960.24 and 161,488.64

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Solution

The fourth proportional to 295,616, 407,960.24 and 161,488.64 is: 222,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,616 : 407,960.24 = 161,488.64 : x
  2. Step 2: Convert to fraction form
    295,616/407,960.24 = 161,488.64/x
  3. Step 3: Cross multiply
    295,616x = 407,960.24 × 161,488.64
  4. Step 4: Simplify right side
    295,616x = 65,880,944,331.67
  5. Step 5: Solve for x
    x = 65,880,944,331.67/295,616
  6. Step 6: Final answer
    x = 222,859.87

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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.