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Finding the Fourth Proportional to 290,375.44, 435,618.16 and 100,828.40

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Solution

The fourth proportional to 290,375.44, 435,618.16 and 100,828.40 is: 151,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,375.44 : 435,618.16 = 100,828.40 : x
  2. Step 2: Convert to fraction form
    290,375.44/435,618.16 = 100,828.40/x
  3. Step 3: Cross multiply
    290,375.44x = 435,618.16 × 100,828.40
  4. Step 4: Simplify right side
    290,375.44x = 43,922,682,083.74
  5. Step 5: Solve for x
    x = 43,922,682,083.74/290,375.44
  6. Step 6: Final answer
    x = 151,261.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.