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Finding the Fourth Proportional to 491,044.70, 677,635.16 and 276,184.77

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Solution

The fourth proportional to 491,044.70, 677,635.16 and 276,184.77 is: 381,131.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,044.70 : 677,635.16 = 276,184.77 : x
  2. Step 2: Convert to fraction form
    491,044.70/677,635.16 = 276,184.77/x
  3. Step 3: Cross multiply
    491,044.70x = 677,635.16 × 276,184.77
  4. Step 4: Simplify right side
    491,044.70x = 187,152,509,427.59
  5. Step 5: Solve for x
    x = 187,152,509,427.59/491,044.70
  6. Step 6: Final answer
    x = 381,131.31

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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.