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Finding the Fourth Proportional to 381,208.28, 571,895.58 and 144,553.28

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Solution

The fourth proportional to 381,208.28, 571,895.58 and 144,553.28 is: 216,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,208.28 : 571,895.58 = 144,553.28 : x
  2. Step 2: Convert to fraction form
    381,208.28/571,895.58 = 144,553.28/x
  3. Step 3: Cross multiply
    381,208.28x = 571,895.58 × 144,553.28
  4. Step 4: Simplify right side
    381,208.28x = 82,669,381,906.50
  5. Step 5: Solve for x
    x = 82,669,381,906.50/381,208.28
  6. Step 6: Final answer
    x = 216,861.45

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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.