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Finding the Fourth Proportional to 340,717.88, 470,200.39 and 189,824.60

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Solution

The fourth proportional to 340,717.88, 470,200.39 and 189,824.60 is: 261,963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,717.88 : 470,200.39 = 189,824.60 : x
  2. Step 2: Convert to fraction form
    340,717.88/470,200.39 = 189,824.60/x
  3. Step 3: Cross multiply
    340,717.88x = 470,200.39 × 189,824.60
  4. Step 4: Simplify right side
    340,717.88x = 89,255,598,126.03
  5. Step 5: Solve for x
    x = 89,255,598,126.03/340,717.88
  6. Step 6: Final answer
    x = 261,963.36

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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.