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Finding the Fourth Proportional to 294,896.81, 442,232.81 and 105,321.78

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Solution

The fourth proportional to 294,896.81, 442,232.81 and 105,321.78 is: 157,942.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,896.81 : 442,232.81 = 105,321.78 : x
  2. Step 2: Convert to fraction form
    294,896.81/442,232.81 = 105,321.78/x
  3. Step 3: Cross multiply
    294,896.81x = 442,232.81 × 105,321.78
  4. Step 4: Simplify right side
    294,896.81x = 46,576,746,591.95
  5. Step 5: Solve for x
    x = 46,576,746,591.95/294,896.81
  6. Step 6: Final answer
    x = 157,942.52

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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.