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Finding the Fourth Proportional to 492,782.81, 680,040.16 and 277,922.41

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Solution

The fourth proportional to 492,782.81, 680,040.16 and 277,922.41 is: 383,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,782.81 : 680,040.16 = 277,922.41 : x
  2. Step 2: Convert to fraction form
    492,782.81/680,040.16 = 277,922.41/x
  3. Step 3: Cross multiply
    492,782.81x = 680,040.16 × 277,922.41
  4. Step 4: Simplify right side
    492,782.81x = 188,998,397,769.08
  5. Step 5: Solve for x
    x = 188,998,397,769.08/492,782.81
  6. Step 6: Final answer
    x = 383,532.86

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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.