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Finding the Fourth Proportional to 393,011.69, 589,632.36 and 126,766.31

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Solution

The fourth proportional to 393,011.69, 589,632.36 and 126,766.31 is: 190,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,011.69 : 589,632.36 = 126,766.31 : x
  2. Step 2: Convert to fraction form
    393,011.69/589,632.36 = 126,766.31/x
  3. Step 3: Cross multiply
    393,011.69x = 589,632.36 × 126,766.31
  4. Step 4: Simplify right side
    393,011.69x = 74,745,517,899.96
  5. Step 5: Solve for x
    x = 74,745,517,899.96/393,011.69
  6. Step 6: Final answer
    x = 190,186.50

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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.