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Finding the Fourth Proportional to 256,167.42, 383,988.60 and 106,494.54

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Solution

The fourth proportional to 256,167.42, 383,988.60 and 106,494.54 is: 159,632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,167.42 : 383,988.60 = 106,494.54 : x
  2. Step 2: Convert to fraction form
    256,167.42/383,988.60 = 106,494.54/x
  3. Step 3: Cross multiply
    256,167.42x = 383,988.60 × 106,494.54
  4. Step 4: Simplify right side
    256,167.42x = 40,892,689,322.24
  5. Step 5: Solve for x
    x = 40,892,689,322.24/256,167.42
  6. Step 6: Final answer
    x = 159,632.67

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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.