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Finding the Fourth Proportional to 311,707.56, 430,312.86 and 204,441.96

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Solution

The fourth proportional to 311,707.56, 430,312.86 and 204,441.96 is: 282,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,707.56 : 430,312.86 = 204,441.96 : x
  2. Step 2: Convert to fraction form
    311,707.56/430,312.86 = 204,441.96/x
  3. Step 3: Cross multiply
    311,707.56x = 430,312.86 × 204,441.96
  4. Step 4: Simplify right side
    311,707.56x = 87,974,004,511.61
  5. Step 5: Solve for x
    x = 87,974,004,511.61/311,707.56
  6. Step 6: Final answer
    x = 282,232.50

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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.