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Finding the Fourth Proportional to 294,121, 441,181.50 and 72,505

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Solution

The fourth proportional to 294,121, 441,181.50 and 72,505 is: 108,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,121 : 441,181.50 = 72,505 : x
  2. Step 2: Convert to fraction form
    294,121/441,181.50 = 72,505/x
  3. Step 3: Cross multiply
    294,121x = 441,181.50 × 72,505
  4. Step 4: Simplify right side
    294,121x = 31,987,864,657.50
  5. Step 5: Solve for x
    x = 31,987,864,657.50/294,121
  6. Step 6: Final answer
    x = 108,757.50

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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.