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Finding the Fourth Proportional to 251,948, 347,658 and 144,512.48

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Solution

The fourth proportional to 251,948, 347,658 and 144,512.48 is: 199,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,948 : 347,658 = 144,512.48 : x
  2. Step 2: Convert to fraction form
    251,948/347,658 = 144,512.48/x
  3. Step 3: Cross multiply
    251,948x = 347,658 × 144,512.48
  4. Step 4: Simplify right side
    251,948x = 50,240,919,771.84
  5. Step 5: Solve for x
    x = 50,240,919,771.84/251,948
  6. Step 6: Final answer
    x = 199,409.88

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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.