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Finding the Fourth Proportional to 492,057.40, 738,258.90 and 211,660.60

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Solution

The fourth proportional to 492,057.40, 738,258.90 and 211,660.60 is: 317,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,057.40 : 738,258.90 = 211,660.60 : x
  2. Step 2: Convert to fraction form
    492,057.40/738,258.90 = 211,660.60/x
  3. Step 3: Cross multiply
    492,057.40x = 738,258.90 × 211,660.60
  4. Step 4: Simplify right side
    492,057.40x = 156,260,321,729.34
  5. Step 5: Solve for x
    x = 156,260,321,729.34/492,057.40
  6. Step 6: Final answer
    x = 317,565.23

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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.