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Finding the Fourth Proportional to 329,943.54, 494,876.42 and 259,842.90

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Solution

The fourth proportional to 329,943.54, 494,876.42 and 259,842.90 is: 389,733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,943.54 : 494,876.42 = 259,842.90 : x
  2. Step 2: Convert to fraction form
    329,943.54/494,876.42 = 259,842.90/x
  3. Step 3: Cross multiply
    329,943.54x = 494,876.42 × 259,842.90
  4. Step 4: Simplify right side
    329,943.54x = 128,590,124,114.42
  5. Step 5: Solve for x
    x = 128,590,124,114.42/329,943.54
  6. Step 6: Final answer
    x = 389,733.72

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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.