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Finding the Fourth Proportional to 256,211.35, 384,109.31 and 106,563.67

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Solution

The fourth proportional to 256,211.35, 384,109.31 and 106,563.67 is: 159,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,211.35 : 384,109.31 = 106,563.67 : x
  2. Step 2: Convert to fraction form
    256,211.35/384,109.31 = 106,563.67/x
  3. Step 3: Cross multiply
    256,211.35x = 384,109.31 × 106,563.67
  4. Step 4: Simplify right side
    256,211.35x = 40,932,097,754.77
  5. Step 5: Solve for x
    x = 40,932,097,754.77/256,211.35
  6. Step 6: Final answer
    x = 159,759.11

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1.5x scale

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.