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Finding the Fourth Proportional to 231,998.40, 347,997.60 and 153,201.60

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Solution

The fourth proportional to 231,998.40, 347,997.60 and 153,201.60 is: 229,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,998.40 : 347,997.60 = 153,201.60 : x
  2. Step 2: Convert to fraction form
    231,998.40/347,997.60 = 153,201.60/x
  3. Step 3: Cross multiply
    231,998.40x = 347,997.60 × 153,201.60
  4. Step 4: Simplify right side
    231,998.40x = 53,313,789,116.16
  5. Step 5: Solve for x
    x = 53,313,789,116.16/231,998.40
  6. Step 6: Final answer
    x = 229,802.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.