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Finding the Fourth Proportional to 393,047.80, 589,696.32 and 140,322.88

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Solution

The fourth proportional to 393,047.80, 589,696.32 and 140,322.88 is: 210,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,047.80 : 589,696.32 = 140,322.88 : x
  2. Step 2: Convert to fraction form
    393,047.80/589,696.32 = 140,322.88/x
  3. Step 3: Cross multiply
    393,047.80x = 589,696.32 × 140,322.88
  4. Step 4: Simplify right side
    393,047.80x = 82,747,885,947.80
  5. Step 5: Solve for x
    x = 82,747,885,947.80/393,047.80
  6. Step 6: Final answer
    x = 210,528.81

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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.