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Finding the Fourth Proportional to 481,419.34, 664,381.50 and 290,428.63

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Solution

The fourth proportional to 481,419.34, 664,381.50 and 290,428.63 is: 400,805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,419.34 : 664,381.50 = 290,428.63 : x
  2. Step 2: Convert to fraction form
    481,419.34/664,381.50 = 290,428.63/x
  3. Step 3: Cross multiply
    481,419.34x = 664,381.50 × 290,428.63
  4. Step 4: Simplify right side
    481,419.34x = 192,955,405,520.44
  5. Step 5: Solve for x
    x = 192,955,405,520.44/481,419.34
  6. Step 6: Final answer
    x = 400,805.27

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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.