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Finding the Fourth Proportional to 289,201.60, 434,320.80 and 210,404.80

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Solution

The fourth proportional to 289,201.60, 434,320.80 and 210,404.80 is: 315,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,201.60 : 434,320.80 = 210,404.80 : x
  2. Step 2: Convert to fraction form
    289,201.60/434,320.80 = 210,404.80/x
  3. Step 3: Cross multiply
    289,201.60x = 434,320.80 × 210,404.80
  4. Step 4: Simplify right side
    289,201.60x = 91,383,181,059.84
  5. Step 5: Solve for x
    x = 91,383,181,059.84/289,201.60
  6. Step 6: Final answer
    x = 315,984.36

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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.