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Finding the Fourth Proportional to 347,969.75, 521,954.64 and 85,313.75

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Solution

The fourth proportional to 347,969.75, 521,954.64 and 85,313.75 is: 127,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,969.75 : 521,954.64 = 85,313.75 : x
  2. Step 2: Convert to fraction form
    347,969.75/521,954.64 = 85,313.75/x
  3. Step 3: Cross multiply
    347,969.75x = 521,954.64 × 85,313.75
  4. Step 4: Simplify right side
    347,969.75x = 44,529,907,668.30
  5. Step 5: Solve for x
    x = 44,529,907,668.30/347,969.75
  6. Step 6: Final answer
    x = 127,970.63

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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.