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Finding the Fourth Proportional to 549,234,978.45, 757,223,039.84 and 396,343,193.82

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Solution

The fourth proportional to 549,234,978.45, 757,223,039.84 and 396,343,193.82 is: 546,433,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,234,978.45 : 757,223,039.84 = 396,343,193.82 : x
  2. Step 2: Convert to fraction form
    549,234,978.45/757,223,039.84 = 396,343,193.82/x
  3. Step 3: Cross multiply
    549,234,978.45x = 757,223,039.84 × 396,343,193.82
  4. Step 4: Simplify right side
    549,234,978.45x = 300,120,198,042,292,992
  5. Step 5: Solve for x
    x = 300,120,198,042,292,992/549,234,978.45
  6. Step 6: Final answer
    x = 546,433,147.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.