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Finding the Fourth Proportional to 492,757.30, 738,963.15 and 256,021.30

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Solution

The fourth proportional to 492,757.30, 738,963.15 and 256,021.30 is: 383,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,757.30 : 738,963.15 = 256,021.30 : x
  2. Step 2: Convert to fraction form
    492,757.30/738,963.15 = 256,021.30/x
  3. Step 3: Cross multiply
    492,757.30x = 738,963.15 × 256,021.30
  4. Step 4: Simplify right side
    492,757.30x = 189,190,306,315.10
  5. Step 5: Solve for x
    x = 189,190,306,315.10/492,757.30
  6. Step 6: Final answer
    x = 383,942.17

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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.