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Finding the Fourth Proportional to 285,615.35, 394,059.11 and 164,740.43

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Solution

The fourth proportional to 285,615.35, 394,059.11 and 164,740.43 is: 227,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,615.35 : 394,059.11 = 164,740.43 : x
  2. Step 2: Convert to fraction form
    285,615.35/394,059.11 = 164,740.43/x
  3. Step 3: Cross multiply
    285,615.35x = 394,059.11 × 164,740.43
  4. Step 4: Simplify right side
    285,615.35x = 64,917,464,432.82
  5. Step 5: Solve for x
    x = 64,917,464,432.82/285,615.35
  6. Step 6: Final answer
    x = 227,289.83

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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.