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Finding the Fourth Proportional to 256,509.72, 384,764.04 and 66,969.36

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Solution

The fourth proportional to 256,509.72, 384,764.04 and 66,969.36 is: 100,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,509.72 : 384,764.04 = 66,969.36 : x
  2. Step 2: Convert to fraction form
    256,509.72/384,764.04 = 66,969.36/x
  3. Step 3: Cross multiply
    256,509.72x = 384,764.04 × 66,969.36
  4. Step 4: Simplify right side
    256,509.72x = 25,767,401,509.81
  5. Step 5: Solve for x
    x = 25,767,401,509.81/256,509.72
  6. Step 6: Final answer
    x = 100,453.90

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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.