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Finding the Fourth Proportional to 294,771.40, 407,093.33 and 203,128.97

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Solution

The fourth proportional to 294,771.40, 407,093.33 and 203,128.97 is: 280,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,771.40 : 407,093.33 = 203,128.97 : x
  2. Step 2: Convert to fraction form
    294,771.40/407,093.33 = 203,128.97/x
  3. Step 3: Cross multiply
    294,771.40x = 407,093.33 × 203,128.97
  4. Step 4: Simplify right side
    294,771.40x = 82,692,447,289.13
  5. Step 5: Solve for x
    x = 82,692,447,289.13/294,771.40
  6. Step 6: Final answer
    x = 280,530.77

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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.