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Finding the Fourth Proportional to 467,108, 644,714.04 and 305,869.40

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Solution

The fourth proportional to 467,108, 644,714.04 and 305,869.40 is: 422,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,108 : 644,714.04 = 305,869.40 : x
  2. Step 2: Convert to fraction form
    467,108/644,714.04 = 305,869.40/x
  3. Step 3: Cross multiply
    467,108x = 644,714.04 × 305,869.40
  4. Step 4: Simplify right side
    467,108x = 197,198,296,586.38
  5. Step 5: Solve for x
    x = 197,198,296,586.38/467,108
  6. Step 6: Final answer
    x = 422,168.53

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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.