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Finding the Fourth Proportional to 217,376.40, 326,064.60 and 178,010.40

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Solution

The fourth proportional to 217,376.40, 326,064.60 and 178,010.40 is: 267,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,376.40 : 326,064.60 = 178,010.40 : x
  2. Step 2: Convert to fraction form
    217,376.40/326,064.60 = 178,010.40/x
  3. Step 3: Cross multiply
    217,376.40x = 326,064.60 × 178,010.40
  4. Step 4: Simplify right side
    217,376.40x = 58,042,889,871.84
  5. Step 5: Solve for x
    x = 58,042,889,871.84/217,376.40
  6. Step 6: Final answer
    x = 267,015.60

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Why These Related Problems?

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