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Finding the Fourth Proportional to 340,891.98, 470,446.95 and 189,990.06

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Solution

The fourth proportional to 340,891.98, 470,446.95 and 189,990.06 is: 262,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,891.98 : 470,446.95 = 189,990.06 : x
  2. Step 2: Convert to fraction form
    340,891.98/470,446.95 = 189,990.06/x
  3. Step 3: Cross multiply
    340,891.98x = 470,446.95 × 189,990.06
  4. Step 4: Simplify right side
    340,891.98x = 89,380,244,257.32
  5. Step 5: Solve for x
    x = 89,380,244,257.32/340,891.98
  6. Step 6: Final answer
    x = 262,195.21

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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.