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Finding the Fourth Proportional to 290,767.87, 401,261.87 and 161,708.14

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Solution

The fourth proportional to 290,767.87, 401,261.87 and 161,708.14 is: 223,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,767.87 : 401,261.87 = 161,708.14 : x
  2. Step 2: Convert to fraction form
    290,767.87/401,261.87 = 161,708.14/x
  3. Step 3: Cross multiply
    290,767.87x = 401,261.87 × 161,708.14
  4. Step 4: Simplify right side
    290,767.87x = 64,887,307,835.77
  5. Step 5: Solve for x
    x = 64,887,307,835.77/290,767.87
  6. Step 6: Final answer
    x = 223,158.46

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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.