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Finding the Fourth Proportional to 251,478.36, 347,044.37 and 144,057.78

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Solution

The fourth proportional to 251,478.36, 347,044.37 and 144,057.78 is: 198,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,478.36 : 347,044.37 = 144,057.78 : x
  2. Step 2: Convert to fraction form
    251,478.36/347,044.37 = 144,057.78/x
  3. Step 3: Cross multiply
    251,478.36x = 347,044.37 × 144,057.78
  4. Step 4: Simplify right side
    251,478.36x = 49,994,440,783.41
  5. Step 5: Solve for x
    x = 49,994,440,783.41/251,478.36
  6. Step 6: Final answer
    x = 198,802.16

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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.