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Finding the Fourth Proportional to 264,906.91, 397,374.10 and 87,427.76

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Solution

The fourth proportional to 264,906.91, 397,374.10 and 87,427.76 is: 131,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,906.91 : 397,374.10 = 87,427.76 : x
  2. Step 2: Convert to fraction form
    264,906.91/397,374.10 = 87,427.76/x
  3. Step 3: Cross multiply
    264,906.91x = 397,374.10 × 87,427.76
  4. Step 4: Simplify right side
    264,906.91x = 34,741,525,731.36
  5. Step 5: Solve for x
    x = 34,741,525,731.36/264,906.91
  6. Step 6: Final answer
    x = 131,146.17

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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.