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Finding the Fourth Proportional to 290,764.89, 401,255.80 and 161,700.55

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Solution

The fourth proportional to 290,764.89, 401,255.80 and 161,700.55 is: 223,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,764.89 : 401,255.80 = 161,700.55 : x
  2. Step 2: Convert to fraction form
    290,764.89/401,255.80 = 161,700.55/x
  3. Step 3: Cross multiply
    290,764.89x = 401,255.80 × 161,700.55
  4. Step 4: Simplify right side
    290,764.89x = 64,883,282,143.30
  5. Step 5: Solve for x
    x = 64,883,282,143.30/290,764.89
  6. Step 6: Final answer
    x = 223,146.89

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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.