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Finding the Fourth Proportional to 290,313.30, 400,619.00 and 161,259.96

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Solution

The fourth proportional to 290,313.30, 400,619.00 and 161,259.96 is: 222,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,313.30 : 400,619.00 = 161,259.96 : x
  2. Step 2: Convert to fraction form
    290,313.30/400,619.00 = 161,259.96/x
  3. Step 3: Cross multiply
    290,313.30x = 400,619.00 × 161,259.96
  4. Step 4: Simplify right side
    290,313.30x = 64,603,803,108.94
  5. Step 5: Solve for x
    x = 64,603,803,108.94/290,313.30
  6. Step 6: Final answer
    x = 222,531.32

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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.