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Finding the Fourth Proportional to 492,813.77, 680,042.14 and 278,006.63

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Solution

The fourth proportional to 492,813.77, 680,042.14 and 278,006.63 is: 383,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,813.77 : 680,042.14 = 278,006.63 : x
  2. Step 2: Convert to fraction form
    492,813.77/680,042.14 = 278,006.63/x
  3. Step 3: Cross multiply
    492,813.77x = 680,042.14 × 278,006.63
  4. Step 4: Simplify right side
    492,813.77x = 189,056,224,604.48
  5. Step 5: Solve for x
    x = 189,056,224,604.48/492,813.77
  6. Step 6: Final answer
    x = 383,626.10

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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.