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Finding the Fourth Proportional to 289,735.20, 434,019.60 and 201,088.80

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Solution

The fourth proportional to 289,735.20, 434,019.60 and 201,088.80 is: 301,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,735.20 : 434,019.60 = 201,088.80 : x
  2. Step 2: Convert to fraction form
    289,735.20/434,019.60 = 201,088.80/x
  3. Step 3: Cross multiply
    289,735.20x = 434,019.60 × 201,088.80
  4. Step 4: Simplify right side
    289,735.20x = 87,276,480,540.48
  5. Step 5: Solve for x
    x = 87,276,480,540.48/289,735.20
  6. Step 6: Final answer
    x = 301,228.43

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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.