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Finding the Fourth Proportional to 494,306.31, 740,262.11 and 342,076.82

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Solution

The fourth proportional to 494,306.31, 740,262.11 and 342,076.82 is: 512,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,306.31 : 740,262.11 = 342,076.82 : x
  2. Step 2: Convert to fraction form
    494,306.31/740,262.11 = 342,076.82/x
  3. Step 3: Cross multiply
    494,306.31x = 740,262.11 × 342,076.82
  4. Step 4: Simplify right side
    494,306.31x = 253,226,509,053.02
  5. Step 5: Solve for x
    x = 253,226,509,053.02/494,306.31
  6. Step 6: Final answer
    x = 512,286.62

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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.