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Finding the Fourth Proportional to 340,893.23, 470,448.68 and 189,991.31

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Solution

The fourth proportional to 340,893.23, 470,448.68 and 189,991.31 is: 262,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,893.23 : 470,448.68 = 189,991.31 : x
  2. Step 2: Convert to fraction form
    340,893.23/470,448.68 = 189,991.31/x
  3. Step 3: Cross multiply
    340,893.23x = 470,448.68 × 189,991.31
  4. Step 4: Simplify right side
    340,893.23x = 89,381,161,000.97
  5. Step 5: Solve for x
    x = 89,381,161,000.97/340,893.23
  6. Step 6: Final answer
    x = 262,196.94

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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.