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Finding the Fourth Proportional to 276,645.82, 381,767.49 and 155,788.60

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Solution

The fourth proportional to 276,645.82, 381,767.49 and 155,788.60 is: 214,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,645.82 : 381,767.49 = 155,788.60 : x
  2. Step 2: Convert to fraction form
    276,645.82/381,767.49 = 155,788.60/x
  3. Step 3: Cross multiply
    276,645.82x = 381,767.49 × 155,788.60
  4. Step 4: Simplify right side
    276,645.82x = 59,475,022,792.61
  5. Step 5: Solve for x
    x = 59,475,022,792.61/276,645.82
  6. Step 6: Final answer
    x = 214,986.16

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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.