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Finding the Fourth Proportional to 492,890.04, 680,171.52 and 278,022

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Solution

The fourth proportional to 492,890.04, 680,171.52 and 278,022 is: 383,660.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,890.04 : 680,171.52 = 278,022 : x
  2. Step 2: Convert to fraction form
    492,890.04/680,171.52 = 278,022/x
  3. Step 3: Cross multiply
    492,890.04x = 680,171.52 × 278,022
  4. Step 4: Simplify right side
    492,890.04x = 189,102,646,333.44
  5. Step 5: Solve for x
    x = 189,102,646,333.44/492,890.04
  6. Step 6: Final answer
    x = 383,660.92

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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.