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Finding the Fourth Proportional to 297,705.79, 410,835.96 and 161,739.71

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Solution

The fourth proportional to 297,705.79, 410,835.96 and 161,739.71 is: 223,201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,705.79 : 410,835.96 = 161,739.71 : x
  2. Step 2: Convert to fraction form
    297,705.79/410,835.96 = 161,739.71/x
  3. Step 3: Cross multiply
    297,705.79x = 410,835.96 × 161,739.71
  4. Step 4: Simplify right side
    297,705.79x = 66,448,486,973.79
  5. Step 5: Solve for x
    x = 66,448,486,973.79/297,705.79
  6. Step 6: Final answer
    x = 223,201.86

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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.