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Finding the Fourth Proportional to 290,414.56, 435,509.52 and 100,818.40

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Solution

The fourth proportional to 290,414.56, 435,509.52 and 100,818.40 is: 151,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,414.56 : 435,509.52 = 100,818.40 : x
  2. Step 2: Convert to fraction form
    290,414.56/435,509.52 = 100,818.40/x
  3. Step 3: Cross multiply
    290,414.56x = 435,509.52 × 100,818.40
  4. Step 4: Simplify right side
    290,414.56x = 43,907,372,991.17
  5. Step 5: Solve for x
    x = 43,907,372,991.17/290,414.56
  6. Step 6: Final answer
    x = 151,188.61

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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.