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Finding the Fourth Proportional to 492,302.58, 738,388.25 and 137,286.87

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Solution

The fourth proportional to 492,302.58, 738,388.25 and 137,286.87 is: 205,912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,302.58 : 738,388.25 = 137,286.87 : x
  2. Step 2: Convert to fraction form
    492,302.58/738,388.25 = 137,286.87/x
  3. Step 3: Cross multiply
    492,302.58x = 738,388.25 × 137,286.87
  4. Step 4: Simplify right side
    492,302.58x = 101,371,007,995.34
  5. Step 5: Solve for x
    x = 101,371,007,995.34/492,302.58
  6. Step 6: Final answer
    x = 205,912.00

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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.