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Finding the Fourth Proportional to 285,648.58, 394,188.33 and 164,790.10

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Solution

The fourth proportional to 285,648.58, 394,188.33 and 164,790.10 is: 227,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,648.58 : 394,188.33 = 164,790.10 : x
  2. Step 2: Convert to fraction form
    285,648.58/394,188.33 = 164,790.10/x
  3. Step 3: Cross multiply
    285,648.58x = 394,188.33 × 164,790.10
  4. Step 4: Simplify right side
    285,648.58x = 64,958,334,319.53
  5. Step 5: Solve for x
    x = 64,958,334,319.53/285,648.58
  6. Step 6: Final answer
    x = 227,406.47

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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.