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Finding the Fourth Proportional to 260,533.60, 390,800.40 and 204,546.40

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Solution

The fourth proportional to 260,533.60, 390,800.40 and 204,546.40 is: 306,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,533.60 : 390,800.40 = 204,546.40 : x
  2. Step 2: Convert to fraction form
    260,533.60/390,800.40 = 204,546.40/x
  3. Step 3: Cross multiply
    260,533.60x = 390,800.40 × 204,546.40
  4. Step 4: Simplify right side
    260,533.60x = 79,936,814,938.56
  5. Step 5: Solve for x
    x = 79,936,814,938.56/260,533.60
  6. Step 6: Final answer
    x = 306,819.60

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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.