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Finding the Fourth Proportional to 421,322.97, 631,855.92 and 221,534.97

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Solution

The fourth proportional to 421,322.97, 631,855.92 and 221,534.97 is: 332,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,322.97 : 631,855.92 = 221,534.97 : x
  2. Step 2: Convert to fraction form
    421,322.97/631,855.92 = 221,534.97/x
  3. Step 3: Cross multiply
    421,322.97x = 631,855.92 × 221,534.97
  4. Step 4: Simplify right side
    421,322.97x = 139,978,182,281.52
  5. Step 5: Solve for x
    x = 139,978,182,281.52/421,322.97
  6. Step 6: Final answer
    x = 332,234.87

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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.