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Finding the Fourth Proportional to 340,608.38, 470,039.63 and 189,705.38

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Solution

The fourth proportional to 340,608.38, 470,039.63 and 189,705.38 is: 261,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,608.38 : 470,039.63 = 189,705.38 : x
  2. Step 2: Convert to fraction form
    340,608.38/470,039.63 = 189,705.38/x
  3. Step 3: Cross multiply
    340,608.38x = 470,039.63 × 189,705.38
  4. Step 4: Simplify right side
    340,608.38x = 89,169,043,325.48
  5. Step 5: Solve for x
    x = 89,169,043,325.48/340,608.38
  6. Step 6: Final answer
    x = 261,793.46

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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.