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Finding the Fourth Proportional to 290,609.87, 401,026.19 and 163,277.25

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Solution

The fourth proportional to 290,609.87, 401,026.19 and 163,277.25 is: 225,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,609.87 : 401,026.19 = 163,277.25 : x
  2. Step 2: Convert to fraction form
    290,609.87/401,026.19 = 163,277.25/x
  3. Step 3: Cross multiply
    290,609.87x = 401,026.19 × 163,277.25
  4. Step 4: Simplify right side
    290,609.87x = 65,478,452,664.79
  5. Step 5: Solve for x
    x = 65,478,452,664.79/290,609.87
  6. Step 6: Final answer
    x = 225,313.94

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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.