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Finding the Fourth Proportional to 256,995.82, 383,931.83 and 166,299.67

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Solution

The fourth proportional to 256,995.82, 383,931.83 and 166,299.67 is: 248,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,995.82 : 383,931.83 = 166,299.67 : x
  2. Step 2: Convert to fraction form
    256,995.82/383,931.83 = 166,299.67/x
  3. Step 3: Cross multiply
    256,995.82x = 383,931.83 × 166,299.67
  4. Step 4: Simplify right side
    256,995.82x = 63,847,736,631.50
  5. Step 5: Solve for x
    x = 63,847,736,631.50/256,995.82
  6. Step 6: Final answer
    x = 248,438.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.