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Finding the Fourth Proportional to 421,231.20, 631,846.80 and 261,798.90

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Solution

The fourth proportional to 421,231.20, 631,846.80 and 261,798.90 is: 392,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,231.20 : 631,846.80 = 261,798.90 : x
  2. Step 2: Convert to fraction form
    421,231.20/631,846.80 = 261,798.90/x
  3. Step 3: Cross multiply
    421,231.20x = 631,846.80 × 261,798.90
  4. Step 4: Simplify right side
    421,231.20x = 165,416,797,208.52
  5. Step 5: Solve for x
    x = 165,416,797,208.52/421,231.20
  6. Step 6: Final answer
    x = 392,698.35

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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.