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Finding the Fourth Proportional to 290,384.06, 400,734.81 and 161,330.94

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Solution

The fourth proportional to 290,384.06, 400,734.81 and 161,330.94 is: 222,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,384.06 : 400,734.81 = 161,330.94 : x
  2. Step 2: Convert to fraction form
    290,384.06/400,734.81 = 161,330.94/x
  3. Step 3: Cross multiply
    290,384.06x = 400,734.81 × 161,330.94
  4. Step 4: Simplify right side
    290,384.06x = 64,650,923,588.02
  5. Step 5: Solve for x
    x = 64,650,923,588.02/290,384.06
  6. Step 6: Final answer
    x = 222,639.37

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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.