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Finding the Fourth Proportional to 298,201.05, 411,511.78 and 165,589.41

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Solution

The fourth proportional to 298,201.05, 411,511.78 and 165,589.41 is: 228,510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,201.05 : 411,511.78 = 165,589.41 : x
  2. Step 2: Convert to fraction form
    298,201.05/411,511.78 = 165,589.41/x
  3. Step 3: Cross multiply
    298,201.05x = 411,511.78 × 165,589.41
  4. Step 4: Simplify right side
    298,201.05x = 68,141,992,444.28
  5. Step 5: Solve for x
    x = 68,141,992,444.28/298,201.05
  6. Step 6: Final answer
    x = 228,510.24

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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.