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Finding the Fourth Proportional to 290,695.86, 401,193.54 and 161,647.20

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Solution

The fourth proportional to 290,695.86, 401,193.54 and 161,647.20 is: 223,091.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,695.86 : 401,193.54 = 161,647.20 : x
  2. Step 2: Convert to fraction form
    290,695.86/401,193.54 = 161,647.20/x
  3. Step 3: Cross multiply
    290,695.86x = 401,193.54 × 161,647.20
  4. Step 4: Simplify right side
    290,695.86x = 64,851,812,399.09
  5. Step 5: Solve for x
    x = 64,851,812,399.09/290,695.86
  6. Step 6: Final answer
    x = 223,091.63

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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.