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Finding the Fourth Proportional to 492,015.80, 738,369.30 and 211,734.20

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Solution

The fourth proportional to 492,015.80, 738,369.30 and 211,734.20 is: 317,750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,015.80 : 738,369.30 = 211,734.20 : x
  2. Step 2: Convert to fraction form
    492,015.80/738,369.30 = 211,734.20/x
  3. Step 3: Cross multiply
    492,015.80x = 738,369.30 × 211,734.20
  4. Step 4: Simplify right side
    492,015.80x = 156,338,033,040.06
  5. Step 5: Solve for x
    x = 156,338,033,040.06/492,015.80
  6. Step 6: Final answer
    x = 317,750.03

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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.