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Finding the Fourth Proportional to 431,485.96, 647,355.18 and 221,270.92

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Solution

The fourth proportional to 431,485.96, 647,355.18 and 221,270.92 is: 331,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,485.96 : 647,355.18 = 221,270.92 : x
  2. Step 2: Convert to fraction form
    431,485.96/647,355.18 = 221,270.92/x
  3. Step 3: Cross multiply
    431,485.96x = 647,355.18 × 221,270.92
  4. Step 4: Simplify right side
    431,485.96x = 143,240,876,245.37
  5. Step 5: Solve for x
    x = 143,240,876,245.37/431,485.96
  6. Step 6: Final answer
    x = 331,971.12

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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.