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Finding the Fourth Proportional to 393,129.75, 589,694.63 and 112,647

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Solution

The fourth proportional to 393,129.75, 589,694.63 and 112,647 is: 168,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,129.75 : 589,694.63 = 112,647 : x
  2. Step 2: Convert to fraction form
    393,129.75/589,694.63 = 112,647/x
  3. Step 3: Cross multiply
    393,129.75x = 589,694.63 × 112,647
  4. Step 4: Simplify right side
    393,129.75x = 66,427,330,422.38
  5. Step 5: Solve for x
    x = 66,427,330,422.38/393,129.75
  6. Step 6: Final answer
    x = 168,970.50

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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.