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Finding the Fourth Proportional to 403,603.50, 605,406 and 378,941.31

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Solution

The fourth proportional to 403,603.50, 605,406 and 378,941.31 is: 568,412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,603.50 : 605,406 = 378,941.31 : x
  2. Step 2: Convert to fraction form
    403,603.50/605,406 = 378,941.31/x
  3. Step 3: Cross multiply
    403,603.50x = 605,406 × 378,941.31
  4. Step 4: Simplify right side
    403,603.50x = 229,413,342,721.86
  5. Step 5: Solve for x
    x = 229,413,342,721.86/403,603.50
  6. Step 6: Final answer
    x = 568,412.67

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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.