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Finding the Fourth Proportional to 492,817.21, 680,211.68 and 278,081.15

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Solution

The fourth proportional to 492,817.21, 680,211.68 and 278,081.15 is: 383,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,817.21 : 680,211.68 = 278,081.15 : x
  2. Step 2: Convert to fraction form
    492,817.21/680,211.68 = 278,081.15/x
  3. Step 3: Cross multiply
    492,817.21x = 680,211.68 × 278,081.15
  4. Step 4: Simplify right side
    492,817.21x = 189,154,045,252.56
  5. Step 5: Solve for x
    x = 189,154,045,252.56/492,817.21
  6. Step 6: Final answer
    x = 383,821.91

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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.