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Finding the Fourth Proportional to 329,102.73, 493,832.70 and 139,669.65

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Solution

The fourth proportional to 329,102.73, 493,832.70 and 139,669.65 is: 209,580.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,102.73 : 493,832.70 = 139,669.65 : x
  2. Step 2: Convert to fraction form
    329,102.73/493,832.70 = 139,669.65/x
  3. Step 3: Cross multiply
    329,102.73x = 493,832.70 × 139,669.65
  4. Step 4: Simplify right side
    329,102.73x = 68,973,440,367.56
  5. Step 5: Solve for x
    x = 68,973,440,367.56/329,102.73
  6. Step 6: Final answer
    x = 209,580.27

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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.