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Finding the Fourth Proportional to 393,014.70, 589,636.85 and 126,769.32

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Solution

The fourth proportional to 393,014.70, 589,636.85 and 126,769.32 is: 190,191.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,014.70 : 589,636.85 = 126,769.32 : x
  2. Step 2: Convert to fraction form
    393,014.70/589,636.85 = 126,769.32/x
  3. Step 3: Cross multiply
    393,014.70x = 589,636.85 × 126,769.32
  4. Step 4: Simplify right side
    393,014.70x = 74,747,862,521.44
  5. Step 5: Solve for x
    x = 74,747,862,521.44/393,014.70
  6. Step 6: Final answer
    x = 190,191.01

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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.