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Finding the Fourth Proportional to 294,505, 441,761.82 and 72,889

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Solution

The fourth proportional to 294,505, 441,761.82 and 72,889 is: 109,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,505 : 441,761.82 = 72,889 : x
  2. Step 2: Convert to fraction form
    294,505/441,761.82 = 72,889/x
  3. Step 3: Cross multiply
    294,505x = 441,761.82 × 72,889
  4. Step 4: Simplify right side
    294,505x = 32,199,577,297.98
  5. Step 5: Solve for x
    x = 32,199,577,297.98/294,505
  6. Step 6: Final answer
    x = 109,334.57

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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.