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Finding the Fourth Proportional to 294,120, 441,180 and 72,504

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Solution

The fourth proportional to 294,120, 441,180 and 72,504 is: 108,756

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,120 : 441,180 = 72,504 : x
  2. Step 2: Convert to fraction form
    294,120/441,180 = 72,504/x
  3. Step 3: Cross multiply
    294,120x = 441,180 × 72,504
  4. Step 4: Simplify right side
    294,120x = 31,987,314,720
  5. Step 5: Solve for x
    x = 31,987,314,720/294,120
  6. Step 6: Final answer
    x = 108,756

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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.