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Finding the Fourth Proportional to 294,085, 441,127.50 and 72,469

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Solution

The fourth proportional to 294,085, 441,127.50 and 72,469 is: 108,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,085 : 441,127.50 = 72,469 : x
  2. Step 2: Convert to fraction form
    294,085/441,127.50 = 72,469/x
  3. Step 3: Cross multiply
    294,085x = 441,127.50 × 72,469
  4. Step 4: Simplify right side
    294,085x = 31,968,068,797.50
  5. Step 5: Solve for x
    x = 31,968,068,797.50/294,085
  6. Step 6: Final answer
    x = 108,703.50

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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.