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Finding the Fourth Proportional to 421,791.40, 632,363.10 and 211,580.20

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Solution

The fourth proportional to 421,791.40, 632,363.10 and 211,580.20 is: 317,207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,791.40 : 632,363.10 = 211,580.20 : x
  2. Step 2: Convert to fraction form
    421,791.40/632,363.10 = 211,580.20/x
  3. Step 3: Cross multiply
    421,791.40x = 632,363.10 × 211,580.20
  4. Step 4: Simplify right side
    421,791.40x = 133,795,511,170.62
  5. Step 5: Solve for x
    x = 133,795,511,170.62/421,791.40
  6. Step 6: Final answer
    x = 317,207.77

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1.5x scale

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.