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Finding the Fourth Proportional to 290,536.65, 400,940.61 and 161,475.10

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Solution

The fourth proportional to 290,536.65, 400,940.61 and 161,475.10 is: 222,835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,536.65 : 400,940.61 = 161,475.10 : x
  2. Step 2: Convert to fraction form
    290,536.65/400,940.61 = 161,475.10/x
  3. Step 3: Cross multiply
    290,536.65x = 400,940.61 × 161,475.10
  4. Step 4: Simplify right side
    290,536.65x = 64,741,925,093.81
  5. Step 5: Solve for x
    x = 64,741,925,093.81/290,536.65
  6. Step 6: Final answer
    x = 222,835.66

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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.