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Finding the Fourth Proportional to 290,694.61, 401,191.82 and 161,645.95

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Solution

The fourth proportional to 290,694.61, 401,191.82 and 161,645.95 is: 223,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,694.61 : 401,191.82 = 161,645.95 : x
  2. Step 2: Convert to fraction form
    290,694.61/401,191.82 = 161,645.95/x
  3. Step 3: Cross multiply
    290,694.61x = 401,191.82 × 161,645.95
  4. Step 4: Simplify right side
    290,694.61x = 64,851,032,876.13
  5. Step 5: Solve for x
    x = 64,851,032,876.13/290,694.61
  6. Step 6: Final answer
    x = 223,089.90

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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.