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Finding the Fourth Proportional to 239,765.84, 331,009.44 and 144,296

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Solution

The fourth proportional to 239,765.84, 331,009.44 and 144,296 is: 199,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,765.84 : 331,009.44 = 144,296 : x
  2. Step 2: Convert to fraction form
    239,765.84/331,009.44 = 144,296/x
  3. Step 3: Cross multiply
    239,765.84x = 331,009.44 × 144,296
  4. Step 4: Simplify right side
    239,765.84x = 47,763,338,154.24
  5. Step 5: Solve for x
    x = 47,763,338,154.24/239,765.84
  6. Step 6: Final answer
    x = 199,208.27

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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.