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Finding the Fourth Proportional to 234,778.80, 324,052.56 and 144,156.48

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Solution

The fourth proportional to 234,778.80, 324,052.56 and 144,156.48 is: 198,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,778.80 : 324,052.56 = 144,156.48 : x
  2. Step 2: Convert to fraction form
    234,778.80/324,052.56 = 144,156.48/x
  3. Step 3: Cross multiply
    234,778.80x = 324,052.56 × 144,156.48
  4. Step 4: Simplify right side
    234,778.80x = 46,714,276,384.59
  5. Step 5: Solve for x
    x = 46,714,276,384.59/234,778.80
  6. Step 6: Final answer
    x = 198,971.44

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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.