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Finding the Fourth Proportional to 296,046, 408,553.20 and 161,910

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Solution

The fourth proportional to 296,046, 408,553.20 and 161,910 is: 223,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,046 : 408,553.20 = 161,910 : x
  2. Step 2: Convert to fraction form
    296,046/408,553.20 = 161,910/x
  3. Step 3: Cross multiply
    296,046x = 408,553.20 × 161,910
  4. Step 4: Simplify right side
    296,046x = 66,148,848,612
  5. Step 5: Solve for x
    x = 66,148,848,612/296,046
  6. Step 6: Final answer
    x = 223,441.12

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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.