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Finding the Fourth Proportional to 290,906.51, 401,448.35 and 163,583.01

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Solution

The fourth proportional to 290,906.51, 401,448.35 and 163,583.01 is: 225,743.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,906.51 : 401,448.35 = 163,583.01 : x
  2. Step 2: Convert to fraction form
    290,906.51/401,448.35 = 163,583.01/x
  3. Step 3: Cross multiply
    290,906.51x = 401,448.35 × 163,583.01
  4. Step 4: Simplify right side
    290,906.51x = 65,670,129,861.49
  5. Step 5: Solve for x
    x = 65,670,129,861.49/290,906.51
  6. Step 6: Final answer
    x = 225,743.08

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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.