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Finding the Fourth Proportional to 492,749.30, 738,951.15 and 256,013.30

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Solution

The fourth proportional to 492,749.30, 738,951.15 and 256,013.30 is: 383,930.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,749.30 : 738,951.15 = 256,013.30 : x
  2. Step 2: Convert to fraction form
    492,749.30/738,951.15 = 256,013.30/x
  3. Step 3: Cross multiply
    492,749.30x = 738,951.15 × 256,013.30
  4. Step 4: Simplify right side
    492,749.30x = 189,181,322,450.30
  5. Step 5: Solve for x
    x = 189,181,322,450.30/492,749.30
  6. Step 6: Final answer
    x = 383,930.17

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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.