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Finding the Fourth Proportional to 547,143.12, 821,003.64 and 388,245.81

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Solution

The fourth proportional to 547,143.12, 821,003.64 and 388,245.81 is: 582,573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,143.12 : 821,003.64 = 388,245.81 : x
  2. Step 2: Convert to fraction form
    547,143.12/821,003.64 = 388,245.81/x
  3. Step 3: Cross multiply
    547,143.12x = 821,003.64 × 388,245.81
  4. Step 4: Simplify right side
    547,143.12x = 318,751,223,224.75
  5. Step 5: Solve for x
    x = 318,751,223,224.75/547,143.12
  6. Step 6: Final answer
    x = 582,573.76

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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.