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Finding the Fourth Proportional to 290,769.87, 401,264.63 and 161,710.14

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Solution

The fourth proportional to 290,769.87, 401,264.63 and 161,710.14 is: 223,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,769.87 : 401,264.63 = 161,710.14 : x
  2. Step 2: Convert to fraction form
    290,769.87/401,264.63 = 161,710.14/x
  3. Step 3: Cross multiply
    290,769.87x = 401,264.63 × 161,710.14
  4. Step 4: Simplify right side
    290,769.87x = 64,888,559,494.35
  5. Step 5: Solve for x
    x = 64,888,559,494.35/290,769.87
  6. Step 6: Final answer
    x = 223,161.22

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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.