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Finding the Fourth Proportional to 290,904.11, 401,450.08 and 163,578.59

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Solution

The fourth proportional to 290,904.11, 401,450.08 and 163,578.59 is: 225,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,904.11 : 401,450.08 = 163,578.59 : x
  2. Step 2: Convert to fraction form
    290,904.11/401,450.08 = 163,578.59/x
  3. Step 3: Cross multiply
    290,904.11x = 401,450.08 × 163,578.59
  4. Step 4: Simplify right side
    290,904.11x = 65,668,635,216.64
  5. Step 5: Solve for x
    x = 65,668,635,216.64/290,904.11
  6. Step 6: Final answer
    x = 225,739.80

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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.