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Finding the Fourth Proportional to 492,003.40, 738,177.90 and 211,606.60

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Solution

The fourth proportional to 492,003.40, 738,177.90 and 211,606.60 is: 317,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,003.40 : 738,177.90 = 211,606.60 : x
  2. Step 2: Convert to fraction form
    492,003.40/738,177.90 = 211,606.60/x
  3. Step 3: Cross multiply
    492,003.40x = 738,177.90 × 211,606.60
  4. Step 4: Simplify right side
    492,003.40x = 156,203,315,614.14
  5. Step 5: Solve for x
    x = 156,203,315,614.14/492,003.40
  6. Step 6: Final answer
    x = 317,484.22

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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.