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Finding the Fourth Proportional to 290,555.98, 400,977.57 and 161,497.06

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Solution

The fourth proportional to 290,555.98, 400,977.57 and 161,497.06 is: 222,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,555.98 : 400,977.57 = 161,497.06 : x
  2. Step 2: Convert to fraction form
    290,555.98/400,977.57 = 161,497.06/x
  3. Step 3: Cross multiply
    290,555.98x = 400,977.57 × 161,497.06
  4. Step 4: Simplify right side
    290,555.98x = 64,756,698,680.94
  5. Step 5: Solve for x
    x = 64,756,698,680.94/290,555.98
  6. Step 6: Final answer
    x = 222,871.68

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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.