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Finding the Fourth Proportional to 290,907.26, 401,449.39 and 163,583.76

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Solution

The fourth proportional to 290,907.26, 401,449.39 and 163,583.76 is: 225,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,907.26 : 401,449.39 = 163,583.76 : x
  2. Step 2: Convert to fraction form
    290,907.26/401,449.39 = 163,583.76/x
  3. Step 3: Cross multiply
    290,907.26x = 401,449.39 × 163,583.76
  4. Step 4: Simplify right side
    290,907.26x = 65,670,600,256.95
  5. Step 5: Solve for x
    x = 65,670,600,256.95/290,907.26
  6. Step 6: Final answer
    x = 225,744.11

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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.