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Finding the Fourth Proportional to 398,846, 598,663.10 and 174,361.36

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Solution

The fourth proportional to 398,846, 598,663.10 and 174,361.36 is: 261,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,846 : 598,663.10 = 174,361.36 : x
  2. Step 2: Convert to fraction form
    398,846/598,663.10 = 174,361.36/x
  3. Step 3: Cross multiply
    398,846x = 598,663.10 × 174,361.36
  4. Step 4: Simplify right side
    398,846x = 104,383,712,297.82
  5. Step 5: Solve for x
    x = 104,383,712,297.82/398,846
  6. Step 6: Final answer
    x = 261,714.33

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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.