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Finding the Fourth Proportional to 491,564.36, 678,351.30 and 276,703.76

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Solution

The fourth proportional to 491,564.36, 678,351.30 and 276,703.76 is: 381,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,564.36 : 678,351.30 = 276,703.76 : x
  2. Step 2: Convert to fraction form
    491,564.36/678,351.30 = 276,703.76/x
  3. Step 3: Cross multiply
    491,564.36x = 678,351.30 × 276,703.76
  4. Step 4: Simplify right side
    491,564.36x = 187,702,355,310.89
  5. Step 5: Solve for x
    x = 187,702,355,310.89/491,564.36
  6. Step 6: Final answer
    x = 381,846.96

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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.