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Finding the Fourth Proportional to 549,504,002.60, 824,256,003.90 and 388,260,866.60

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Solution

The fourth proportional to 549,504,002.60, 824,256,003.90 and 388,260,866.60 is: 582,391,299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,504,002.60 : 824,256,003.90 = 388,260,866.60 : x
  2. Step 2: Convert to fraction form
    549,504,002.60/824,256,003.90 = 388,260,866.60/x
  3. Step 3: Cross multiply
    549,504,002.60x = 824,256,003.90 × 388,260,866.60
  4. Step 4: Simplify right side
    549,504,002.60x = 320,026,350,374,467,008
  5. Step 5: Solve for x
    x = 320,026,350,374,467,008/549,504,002.60
  6. Step 6: Final answer
    x = 582,391,299.90

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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.