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Finding the Fourth Proportional to 297,686.72, 410,806.04 and 161,719.60

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Solution

The fourth proportional to 297,686.72, 410,806.04 and 161,719.60 is: 223,172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,686.72 : 410,806.04 = 161,719.60 : x
  2. Step 2: Convert to fraction form
    297,686.72/410,806.04 = 161,719.60/x
  3. Step 3: Cross multiply
    297,686.72x = 410,806.04 × 161,719.60
  4. Step 4: Simplify right side
    297,686.72x = 66,435,388,466.38
  5. Step 5: Solve for x
    x = 66,435,388,466.38/297,686.72
  6. Step 6: Final answer
    x = 223,172.16

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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.