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Finding the Fourth Proportional to 224,604.30, 309,940.64 and 122,609.46

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Solution

The fourth proportional to 224,604.30, 309,940.64 and 122,609.46 is: 169,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,604.30 : 309,940.64 = 122,609.46 : x
  2. Step 2: Convert to fraction form
    224,604.30/309,940.64 = 122,609.46/x
  3. Step 3: Cross multiply
    224,604.30x = 309,940.64 × 122,609.46
  4. Step 4: Simplify right side
    224,604.30x = 38,001,654,502.45
  5. Step 5: Solve for x
    x = 38,001,654,502.45/224,604.30
  6. Step 6: Final answer
    x = 169,193.80

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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.