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Finding the Fourth Proportional to 290,334.62, 435,564.16 and 100,800.96

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Solution

The fourth proportional to 290,334.62, 435,564.16 and 100,800.96 is: 151,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,334.62 : 435,564.16 = 100,800.96 : x
  2. Step 2: Convert to fraction form
    290,334.62/435,564.16 = 100,800.96/x
  3. Step 3: Cross multiply
    290,334.62x = 435,564.16 × 100,800.96
  4. Step 4: Simplify right side
    290,334.62x = 43,905,285,469.59
  5. Step 5: Solve for x
    x = 43,905,285,469.59/290,334.62
  6. Step 6: Final answer
    x = 151,223.05

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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.