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Finding the Fourth Proportional to 492,790.64, 739,232.64 and 137,804.60

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Solution

The fourth proportional to 492,790.64, 739,232.64 and 137,804.60 is: 206,719.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,790.64 : 739,232.64 = 137,804.60 : x
  2. Step 2: Convert to fraction form
    492,790.64/739,232.64 = 137,804.60/x
  3. Step 3: Cross multiply
    492,790.64x = 739,232.64 × 137,804.60
  4. Step 4: Simplify right side
    492,790.64x = 101,869,658,262.14
  5. Step 5: Solve for x
    x = 101,869,658,262.14/492,790.64
  6. Step 6: Final answer
    x = 206,719.95

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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.