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Finding the Fourth Proportional to 492,781.22, 680,037.78 and 277,920.77

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Solution

The fourth proportional to 492,781.22, 680,037.78 and 277,920.77 is: 383,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,781.22 : 680,037.78 = 277,920.77 : x
  2. Step 2: Convert to fraction form
    492,781.22/680,037.78 = 277,920.77/x
  3. Step 3: Cross multiply
    492,781.22x = 680,037.78 × 277,920.77
  4. Step 4: Simplify right side
    492,781.22x = 188,996,623,350.61
  5. Step 5: Solve for x
    x = 188,996,623,350.61/492,781.22
  6. Step 6: Final answer
    x = 383,530.49

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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.