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Finding the Fourth Proportional to 313,046.20, 469,223.70 and 172,905.40

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Solution

The fourth proportional to 313,046.20, 469,223.70 and 172,905.40 is: 259,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,046.20 : 469,223.70 = 172,905.40 : x
  2. Step 2: Convert to fraction form
    313,046.20/469,223.70 = 172,905.40/x
  3. Step 3: Cross multiply
    313,046.20x = 469,223.70 × 172,905.40
  4. Step 4: Simplify right side
    313,046.20x = 81,131,311,537.98
  5. Step 5: Solve for x
    x = 81,131,311,537.98/313,046.20
  6. Step 6: Final answer
    x = 259,167.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.