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Finding the Fourth Proportional to 340,891.48, 470,446.26 and 189,989.56

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Solution

The fourth proportional to 340,891.48, 470,446.26 and 189,989.56 is: 262,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,891.48 : 470,446.26 = 189,989.56 : x
  2. Step 2: Convert to fraction form
    340,891.48/470,446.26 = 189,989.56/x
  3. Step 3: Cross multiply
    340,891.48x = 470,446.26 × 189,989.56
  4. Step 4: Simplify right side
    340,891.48x = 89,379,877,941.05
  5. Step 5: Solve for x
    x = 89,379,877,941.05/340,891.48
  6. Step 6: Final answer
    x = 262,194.52

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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.