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Finding the Fourth Proportional to 396,411.20, 594,688.80 and 130,097.60

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Solution

The fourth proportional to 396,411.20, 594,688.80 and 130,097.60 is: 195,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,411.20 : 594,688.80 = 130,097.60 : x
  2. Step 2: Convert to fraction form
    396,411.20/594,688.80 = 130,097.60/x
  3. Step 3: Cross multiply
    396,411.20x = 594,688.80 × 130,097.60
  4. Step 4: Simplify right side
    396,411.20x = 77,367,585,626.88
  5. Step 5: Solve for x
    x = 77,367,585,626.88/396,411.20
  6. Step 6: Final answer
    x = 195,170.03

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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.