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Finding the Fourth Proportional to 455,830.40, 683,745.60 and 403,342.40

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Solution

The fourth proportional to 455,830.40, 683,745.60 and 403,342.40 is: 605,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,830.40 : 683,745.60 = 403,342.40 : x
  2. Step 2: Convert to fraction form
    455,830.40/683,745.60 = 403,342.40/x
  3. Step 3: Cross multiply
    455,830.40x = 683,745.60 × 403,342.40
  4. Step 4: Simplify right side
    455,830.40x = 275,783,591,293.44
  5. Step 5: Solve for x
    x = 275,783,591,293.44/455,830.40
  6. Step 6: Final answer
    x = 605,013.60

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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.