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Finding the Fourth Proportional to 298,399.80, 411,796.95 and 162,437.64

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Solution

The fourth proportional to 298,399.80, 411,796.95 and 162,437.64 is: 224,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,399.80 : 411,796.95 = 162,437.64 : x
  2. Step 2: Convert to fraction form
    298,399.80/411,796.95 = 162,437.64/x
  3. Step 3: Cross multiply
    298,399.80x = 411,796.95 × 162,437.64
  4. Step 4: Simplify right side
    298,399.80x = 66,891,324,717.20
  5. Step 5: Solve for x
    x = 66,891,324,717.20/298,399.80
  6. Step 6: Final answer
    x = 224,166.79

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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.