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Finding the Fourth Proportional to 289,775.20, 434,079.60 and 201,128.80

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Solution

The fourth proportional to 289,775.20, 434,079.60 and 201,128.80 is: 301,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,775.20 : 434,079.60 = 201,128.80 : x
  2. Step 2: Convert to fraction form
    289,775.20/434,079.60 = 201,128.80/x
  3. Step 3: Cross multiply
    289,775.20x = 434,079.60 × 201,128.80
  4. Step 4: Simplify right side
    289,775.20x = 87,305,909,052.48
  5. Step 5: Solve for x
    x = 87,305,909,052.48/289,775.20
  6. Step 6: Final answer
    x = 301,288.41

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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.