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Finding the Fourth Proportional to 290,259.96, 400,572.05 and 161,199

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Solution

The fourth proportional to 290,259.96, 400,572.05 and 161,199 is: 222,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,259.96 : 400,572.05 = 161,199 : x
  2. Step 2: Convert to fraction form
    290,259.96/400,572.05 = 161,199/x
  3. Step 3: Cross multiply
    290,259.96x = 400,572.05 × 161,199
  4. Step 4: Simplify right side
    290,259.96x = 64,571,813,081.96
  5. Step 5: Solve for x
    x = 64,571,813,081.96/290,259.96
  6. Step 6: Final answer
    x = 222,462.01

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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.