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Finding the Fourth Proportional to 321,137.65, 482,444.89 and 226,585.74

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Solution

The fourth proportional to 321,137.65, 482,444.89 and 226,585.74 is: 340,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,137.65 : 482,444.89 = 226,585.74 : x
  2. Step 2: Convert to fraction form
    321,137.65/482,444.89 = 226,585.74/x
  3. Step 3: Cross multiply
    321,137.65x = 482,444.89 × 226,585.74
  4. Step 4: Simplify right side
    321,137.65x = 109,315,132,409.87
  5. Step 5: Solve for x
    x = 109,315,132,409.87/321,137.65
  6. Step 6: Final answer
    x = 340,399.61

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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.