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Finding the Fourth Proportional to 513,455.60, 768,109.80 and 444,105.20

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Solution

The fourth proportional to 513,455.60, 768,109.80 and 444,105.20 is: 664,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,455.60 : 768,109.80 = 444,105.20 : x
  2. Step 2: Convert to fraction form
    513,455.60/768,109.80 = 444,105.20/x
  3. Step 3: Cross multiply
    513,455.60x = 768,109.80 × 444,105.20
  4. Step 4: Simplify right side
    513,455.60x = 341,121,556,350.96
  5. Step 5: Solve for x
    x = 341,121,556,350.96/513,455.60
  6. Step 6: Final answer
    x = 664,364.27

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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.