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Finding the Fourth Proportional to 298,456.32, 411,857.28 and 164,311.68

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Solution

The fourth proportional to 298,456.32, 411,857.28 and 164,311.68 is: 226,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,456.32 : 411,857.28 = 164,311.68 : x
  2. Step 2: Convert to fraction form
    298,456.32/411,857.28 = 164,311.68/x
  3. Step 3: Cross multiply
    298,456.32x = 411,857.28 × 164,311.68
  4. Step 4: Simplify right side
    298,456.32x = 67,672,961,597.03
  5. Step 5: Solve for x
    x = 67,672,961,597.03/298,456.32
  6. Step 6: Final answer
    x = 226,743.27

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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.