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Finding the Fourth Proportional to 492,974.91, 680,293.89 and 278,109.45

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Solution

The fourth proportional to 492,974.91, 680,293.89 and 278,109.45 is: 383,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,974.91 : 680,293.89 = 278,109.45 : x
  2. Step 2: Convert to fraction form
    492,974.91/680,293.89 = 278,109.45/x
  3. Step 3: Cross multiply
    492,974.91x = 680,293.89 × 278,109.45
  4. Step 4: Simplify right side
    492,974.91x = 189,196,159,586.26
  5. Step 5: Solve for x
    x = 189,196,159,586.26/492,974.91
  6. Step 6: Final answer
    x = 383,784.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.