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Finding the Fourth Proportional to 461,188, 691,782 and 110,980

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Solution

The fourth proportional to 461,188, 691,782 and 110,980 is: 166,470

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,188 : 691,782 = 110,980 : x
  2. Step 2: Convert to fraction form
    461,188/691,782 = 110,980/x
  3. Step 3: Cross multiply
    461,188x = 691,782 × 110,980
  4. Step 4: Simplify right side
    461,188x = 76,773,966,360
  5. Step 5: Solve for x
    x = 76,773,966,360/461,188
  6. Step 6: Final answer
    x = 166,470

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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.