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Finding the Fourth Proportional to 297,686.22, 410,805.35 and 161,719.10

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Solution

The fourth proportional to 297,686.22, 410,805.35 and 161,719.10 is: 223,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,686.22 : 410,805.35 = 161,719.10 : x
  2. Step 2: Convert to fraction form
    297,686.22/410,805.35 = 161,719.10/x
  3. Step 3: Cross multiply
    297,686.22x = 410,805.35 × 161,719.10
  4. Step 4: Simplify right side
    297,686.22x = 66,435,071,477.19
  5. Step 5: Solve for x
    x = 66,435,071,477.19/297,686.22
  6. Step 6: Final answer
    x = 223,171.47

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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.