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Finding the Fourth Proportional to 285,260.94, 393,571.31 and 189,783.81

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Solution

The fourth proportional to 285,260.94, 393,571.31 and 189,783.81 is: 261,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,260.94 : 393,571.31 = 189,783.81 : x
  2. Step 2: Convert to fraction form
    285,260.94/393,571.31 = 189,783.81/x
  3. Step 3: Cross multiply
    285,260.94x = 393,571.31 × 189,783.81
  4. Step 4: Simplify right side
    285,260.94x = 74,693,461,769.57
  5. Step 5: Solve for x
    x = 74,693,461,769.57/285,260.94
  6. Step 6: Final answer
    x = 261,842.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.