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Finding the Fourth Proportional to 492,974.71, 680,336.21 and 278,036.35

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Solution

The fourth proportional to 492,974.71, 680,336.21 and 278,036.35 is: 383,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,974.71 : 680,336.21 = 278,036.35 : x
  2. Step 2: Convert to fraction form
    492,974.71/680,336.21 = 278,036.35/x
  3. Step 3: Cross multiply
    492,974.71x = 680,336.21 × 278,036.35
  4. Step 4: Simplify right side
    492,974.71x = 189,158,196,601.23
  5. Step 5: Solve for x
    x = 189,158,196,601.23/492,974.71
  6. Step 6: Final answer
    x = 383,707.71

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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.