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Finding the Fourth Proportional to 290,711.73, 401,172.84 and 161,649.57

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Solution

The fourth proportional to 290,711.73, 401,172.84 and 161,649.57 is: 223,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,711.73 : 401,172.84 = 161,649.57 : x
  2. Step 2: Convert to fraction form
    290,711.73/401,172.84 = 161,649.57/x
  3. Step 3: Cross multiply
    290,711.73x = 401,172.84 × 161,649.57
  4. Step 4: Simplify right side
    290,711.73x = 64,849,417,081.68
  5. Step 5: Solve for x
    x = 64,849,417,081.68/290,711.73
  6. Step 6: Final answer
    x = 223,071.21

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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.