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Finding the Fourth Proportional to 491,244.50, 677,910.46 and 276,384.05

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Solution

The fourth proportional to 491,244.50, 677,910.46 and 276,384.05 is: 381,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,244.50 : 677,910.46 = 276,384.05 : x
  2. Step 2: Convert to fraction form
    491,244.50/677,910.46 = 276,384.05/x
  3. Step 3: Cross multiply
    491,244.50x = 677,910.46 × 276,384.05
  4. Step 4: Simplify right side
    491,244.50x = 187,363,638,472.16
  5. Step 5: Solve for x
    x = 187,363,638,472.16/491,244.50
  6. Step 6: Final answer
    x = 381,406.08

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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.