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Finding the Fourth Proportional to 381,083.46, 525,916.17 and 211,313.94

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Solution

The fourth proportional to 381,083.46, 525,916.17 and 211,313.94 is: 291,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,083.46 : 525,916.17 = 211,313.94 : x
  2. Step 2: Convert to fraction form
    381,083.46/525,916.17 = 211,313.94/x
  3. Step 3: Cross multiply
    381,083.46x = 525,916.17 × 211,313.94
  4. Step 4: Simplify right side
    381,083.46x = 111,133,417,992.41
  5. Step 5: Solve for x
    x = 111,133,417,992.41/381,083.46
  6. Step 6: Final answer
    x = 291,624.88

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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.