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Finding the Fourth Proportional to 290,709.78, 401,089.35 and 169,763.82

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Solution

The fourth proportional to 290,709.78, 401,089.35 and 169,763.82 is: 234,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,709.78 : 401,089.35 = 169,763.82 : x
  2. Step 2: Convert to fraction form
    290,709.78/401,089.35 = 169,763.82/x
  3. Step 3: Cross multiply
    290,709.78x = 401,089.35 × 169,763.82
  4. Step 4: Simplify right side
    290,709.78x = 68,090,460,217.32
  5. Step 5: Solve for x
    x = 68,090,460,217.32/290,709.78
  6. Step 6: Final answer
    x = 234,221.43

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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.