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Finding the Fourth Proportional to 239,793.84, 331,048.08 and 144,324

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Solution

The fourth proportional to 239,793.84, 331,048.08 and 144,324 is: 199,246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,793.84 : 331,048.08 = 144,324 : x
  2. Step 2: Convert to fraction form
    239,793.84/331,048.08 = 144,324/x
  3. Step 3: Cross multiply
    239,793.84x = 331,048.08 × 144,324
  4. Step 4: Simplify right side
    239,793.84x = 47,778,183,097.92
  5. Step 5: Solve for x
    x = 47,778,183,097.92/239,793.84
  6. Step 6: Final answer
    x = 199,246.92

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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.