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Finding the Fourth Proportional to 492,956.82, 680,287 and 278,096.22

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Solution

The fourth proportional to 492,956.82, 680,287 and 278,096.22 is: 383,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,956.82 : 680,287 = 278,096.22 : x
  2. Step 2: Convert to fraction form
    492,956.82/680,287 = 278,096.22/x
  3. Step 3: Cross multiply
    492,956.82x = 680,287 × 278,096.22
  4. Step 4: Simplify right side
    492,956.82x = 189,185,243,215.14
  5. Step 5: Solve for x
    x = 189,185,243,215.14/492,956.82
  6. Step 6: Final answer
    x = 383,776.50

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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.