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Finding the Fourth Proportional to 405,455.54, 608,282.22 and 285,745.82

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Solution

The fourth proportional to 405,455.54, 608,282.22 and 285,745.82 is: 428,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,455.54 : 608,282.22 = 285,745.82 : x
  2. Step 2: Convert to fraction form
    405,455.54/608,282.22 = 285,745.82/x
  3. Step 3: Cross multiply
    405,455.54x = 608,282.22 × 285,745.82
  4. Step 4: Simplify right side
    405,455.54x = 173,814,101,745.32
  5. Step 5: Solve for x
    x = 173,814,101,745.32/405,455.54
  6. Step 6: Final answer
    x = 428,688.44

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1.5x scale

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.