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Finding the Fourth Proportional to 256,834.98, 354,462.21 and 149,409.54

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Solution

The fourth proportional to 256,834.98, 354,462.21 and 149,409.54 is: 206,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,834.98 : 354,462.21 = 149,409.54 : x
  2. Step 2: Convert to fraction form
    256,834.98/354,462.21 = 149,409.54/x
  3. Step 3: Cross multiply
    256,834.98x = 354,462.21 × 149,409.54
  4. Step 4: Simplify right side
    256,834.98x = 52,960,035,743.48
  5. Step 5: Solve for x
    x = 52,960,035,743.48/256,834.98
  6. Step 6: Final answer
    x = 206,202.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.