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Finding the Fourth Proportional to 253,732.32, 380,604.64 and 85,255.07

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Solution

The fourth proportional to 253,732.32, 380,604.64 and 85,255.07 is: 127,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,732.32 : 380,604.64 = 85,255.07 : x
  2. Step 2: Convert to fraction form
    253,732.32/380,604.64 = 85,255.07/x
  3. Step 3: Cross multiply
    253,732.32x = 380,604.64 × 85,255.07
  4. Step 4: Simplify right side
    253,732.32x = 32,448,474,515.22
  5. Step 5: Solve for x
    x = 32,448,474,515.22/253,732.32
  6. Step 6: Final answer
    x = 127,884.67

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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.