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Finding the Fourth Proportional to 318,543.36, 439,407 and 199,104

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Solution

The fourth proportional to 318,543.36, 439,407 and 199,104 is: 274,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,543.36 : 439,407 = 199,104 : x
  2. Step 2: Convert to fraction form
    318,543.36/439,407 = 199,104/x
  3. Step 3: Cross multiply
    318,543.36x = 439,407 × 199,104
  4. Step 4: Simplify right side
    318,543.36x = 87,487,691,328
  5. Step 5: Solve for x
    x = 87,487,691,328/318,543.36
  6. Step 6: Final answer
    x = 274,649.24

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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.