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Finding the Fourth Proportional to 256,739.33, 385,200.24 and 114,571.67

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Solution

The fourth proportional to 256,739.33, 385,200.24 and 114,571.67 is: 171,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,739.33 : 385,200.24 = 114,571.67 : x
  2. Step 2: Convert to fraction form
    256,739.33/385,200.24 = 114,571.67/x
  3. Step 3: Cross multiply
    256,739.33x = 385,200.24 × 114,571.67
  4. Step 4: Simplify right side
    256,739.33x = 44,133,035,744.20
  5. Step 5: Solve for x
    x = 44,133,035,744.20/256,739.33
  6. Step 6: Final answer
    x = 171,898.23

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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.