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Finding the Fourth Proportional to 285,858.30, 394,432.30 and 164,955.48

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Solution

The fourth proportional to 285,858.30, 394,432.30 and 164,955.48 is: 227,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,858.30 : 394,432.30 = 164,955.48 : x
  2. Step 2: Convert to fraction form
    285,858.30/394,432.30 = 164,955.48/x
  3. Step 3: Cross multiply
    285,858.30x = 394,432.30 × 164,955.48
  4. Step 4: Simplify right side
    285,858.30x = 65,063,769,374.00
  5. Step 5: Solve for x
    x = 65,063,769,374.00/285,858.30
  6. Step 6: Final answer
    x = 227,608.47

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1.5x scale

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.