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Finding the Fourth Proportional to 381,200.34, 571,581.74 and 144,391.98

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Solution

The fourth proportional to 381,200.34, 571,581.74 and 144,391.98 is: 216,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,200.34 : 571,581.74 = 144,391.98 : x
  2. Step 2: Convert to fraction form
    381,200.34/571,581.74 = 144,391.98/x
  3. Step 3: Cross multiply
    381,200.34x = 571,581.74 × 144,391.98
  4. Step 4: Simplify right side
    381,200.34x = 82,531,819,170.45
  5. Step 5: Solve for x
    x = 82,531,819,170.45/381,200.34
  6. Step 6: Final answer
    x = 216,505.10

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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.