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Finding the Fourth Proportional to 403,825.40, 605,738.10 and 363,735.80

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Solution

The fourth proportional to 403,825.40, 605,738.10 and 363,735.80 is: 545,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,825.40 : 605,738.10 = 363,735.80 : x
  2. Step 2: Convert to fraction form
    403,825.40/605,738.10 = 363,735.80/x
  3. Step 3: Cross multiply
    403,825.40x = 605,738.10 × 363,735.80
  4. Step 4: Simplify right side
    403,825.40x = 220,328,632,393.98
  5. Step 5: Solve for x
    x = 220,328,632,393.98/403,825.40
  6. Step 6: Final answer
    x = 545,603.70

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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.