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Finding the Fourth Proportional to 290,838.11, 401,380.83 and 161,800.89

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Solution

The fourth proportional to 290,838.11, 401,380.83 and 161,800.89 is: 223,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,838.11 : 401,380.83 = 161,800.89 : x
  2. Step 2: Convert to fraction form
    290,838.11/401,380.83 = 161,800.89/x
  3. Step 3: Cross multiply
    290,838.11x = 401,380.83 × 161,800.89
  4. Step 4: Simplify right side
    290,838.11x = 64,943,775,522.94
  5. Step 5: Solve for x
    x = 64,943,775,522.94/290,838.11
  6. Step 6: Final answer
    x = 223,298.72

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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.