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Finding the Fourth Proportional to 340,891.61, 470,446.43 and 189,989.69

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Solution

The fourth proportional to 340,891.61, 470,446.43 and 189,989.69 is: 262,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,891.61 : 470,446.43 = 189,989.69 : x
  2. Step 2: Convert to fraction form
    340,891.61/470,446.43 = 189,989.69/x
  3. Step 3: Cross multiply
    340,891.61x = 470,446.43 × 189,989.69
  4. Step 4: Simplify right side
    340,891.61x = 89,379,969,520.05
  5. Step 5: Solve for x
    x = 89,379,969,520.05/340,891.61
  6. Step 6: Final answer
    x = 262,194.69

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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.