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Finding the Fourth Proportional to 518,441, 776,961.64 and 269,297.96

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Solution

The fourth proportional to 518,441, 776,961.64 and 269,297.96 is: 403,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,441 : 776,961.64 = 269,297.96 : x
  2. Step 2: Convert to fraction form
    518,441/776,961.64 = 269,297.96/x
  3. Step 3: Cross multiply
    518,441x = 776,961.64 × 269,297.96
  4. Step 4: Simplify right side
    518,441x = 209,234,184,650.25
  5. Step 5: Solve for x
    x = 209,234,184,650.25/518,441
  6. Step 6: Final answer
    x = 403,583.41

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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.