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Finding the Fourth Proportional to 392,580.41, 588,873.55 and 214,990.54

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Solution

The fourth proportional to 392,580.41, 588,873.55 and 214,990.54 is: 322,487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,580.41 : 588,873.55 = 214,990.54 : x
  2. Step 2: Convert to fraction form
    392,580.41/588,873.55 = 214,990.54/x
  3. Step 3: Cross multiply
    392,580.41x = 588,873.55 × 214,990.54
  4. Step 4: Simplify right side
    392,580.41x = 126,602,242,506.22
  5. Step 5: Solve for x
    x = 126,602,242,506.22/392,580.41
  6. Step 6: Final answer
    x = 322,487.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.