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Finding the Fourth Proportional to 229,959.40, 344,939.10 and 199,546.60

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Solution

The fourth proportional to 229,959.40, 344,939.10 and 199,546.60 is: 299,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,959.40 : 344,939.10 = 199,546.60 : x
  2. Step 2: Convert to fraction form
    229,959.40/344,939.10 = 199,546.60/x
  3. Step 3: Cross multiply
    229,959.40x = 344,939.10 × 199,546.60
  4. Step 4: Simplify right side
    229,959.40x = 68,831,424,612.06
  5. Step 5: Solve for x
    x = 68,831,424,612.06/229,959.40
  6. Step 6: Final answer
    x = 299,319.90

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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.