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Finding the Fourth Proportional to 381,200.84, 571,582.49 and 144,392.48

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Solution

The fourth proportional to 381,200.84, 571,582.49 and 144,392.48 is: 216,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,200.84 : 571,582.49 = 144,392.48 : x
  2. Step 2: Convert to fraction form
    381,200.84/571,582.49 = 144,392.48/x
  3. Step 3: Cross multiply
    381,200.84x = 571,582.49 × 144,392.48
  4. Step 4: Simplify right side
    381,200.84x = 82,532,213,255.68
  5. Step 5: Solve for x
    x = 82,532,213,255.68/381,200.84
  6. Step 6: Final answer
    x = 216,505.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.