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Finding the Fourth Proportional to 276,977.43, 415,536.03 and 77,297.63

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Solution

The fourth proportional to 276,977.43, 415,536.03 and 77,297.63 is: 115,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,977.43 : 415,536.03 = 77,297.63 : x
  2. Step 2: Convert to fraction form
    276,977.43/415,536.03 = 77,297.63/x
  3. Step 3: Cross multiply
    276,977.43x = 415,536.03 × 77,297.63
  4. Step 4: Simplify right side
    276,977.43x = 32,119,948,220.93
  5. Step 5: Solve for x
    x = 32,119,948,220.93/276,977.43
  6. Step 6: Final answer
    x = 115,965.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.