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Finding the Fourth Proportional to 329,755.20, 494,710.79 and 262,541.40

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Solution

The fourth proportional to 329,755.20, 494,710.79 and 262,541.40 is: 393,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,755.20 : 494,710.79 = 262,541.40 : x
  2. Step 2: Convert to fraction form
    329,755.20/494,710.79 = 262,541.40/x
  3. Step 3: Cross multiply
    329,755.20x = 494,710.79 × 262,541.40
  4. Step 4: Simplify right side
    329,755.20x = 129,882,062,089.00
  5. Step 5: Solve for x
    x = 129,882,062,089.00/329,755.20
  6. Step 6: Final answer
    x = 393,874.19

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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.