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Finding the Fourth Proportional to 320,900.31, 481,361.63 and 152,333.80

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Solution

The fourth proportional to 320,900.31, 481,361.63 and 152,333.80 is: 228,505.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,900.31 : 481,361.63 = 152,333.80 : x
  2. Step 2: Convert to fraction form
    320,900.31/481,361.63 = 152,333.80/x
  3. Step 3: Cross multiply
    320,900.31x = 481,361.63 × 152,333.80
  4. Step 4: Simplify right side
    320,900.31x = 73,327,644,307.02
  5. Step 5: Solve for x
    x = 73,327,644,307.02/320,900.31
  6. Step 6: Final answer
    x = 228,505.99

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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.