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Finding the Fourth Proportional to 290,697.90, 401,114.46 and 161,632.78

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Solution

The fourth proportional to 290,697.90, 401,114.46 and 161,632.78 is: 223,026.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,697.90 : 401,114.46 = 161,632.78 : x
  2. Step 2: Convert to fraction form
    290,697.90/401,114.46 = 161,632.78/x
  3. Step 3: Cross multiply
    290,697.90x = 401,114.46 × 161,632.78
  4. Step 4: Simplify right side
    290,697.90x = 64,833,245,268.00
  5. Step 5: Solve for x
    x = 64,833,245,268.00/290,697.90
  6. Step 6: Final answer
    x = 223,026.19

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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.