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Finding the Fourth Proportional to 481,859.16, 664,361.10 and 309,472.80

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Solution

The fourth proportional to 481,859.16, 664,361.10 and 309,472.80 is: 426,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,859.16 : 664,361.10 = 309,472.80 : x
  2. Step 2: Convert to fraction form
    481,859.16/664,361.10 = 309,472.80/x
  3. Step 3: Cross multiply
    481,859.16x = 664,361.10 × 309,472.80
  4. Step 4: Simplify right side
    481,859.16x = 205,601,689,828.08
  5. Step 5: Solve for x
    x = 205,601,689,828.08/481,859.16
  6. Step 6: Final answer
    x = 426,684.20

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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.