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Finding the Fourth Proportional to 322,748.48, 445,361.70 and 186,755.30

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Solution

The fourth proportional to 322,748.48, 445,361.70 and 186,755.30 is: 257,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,748.48 : 445,361.70 = 186,755.30 : x
  2. Step 2: Convert to fraction form
    322,748.48/445,361.70 = 186,755.30/x
  3. Step 3: Cross multiply
    322,748.48x = 445,361.70 × 186,755.30
  4. Step 4: Simplify right side
    322,748.48x = 83,173,657,892.01
  5. Step 5: Solve for x
    x = 83,173,657,892.01/322,748.48
  6. Step 6: Final answer
    x = 257,704.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.