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Finding the Fourth Proportional to 306,680.40, 460,020.60 and 82,040.40

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Solution

The fourth proportional to 306,680.40, 460,020.60 and 82,040.40 is: 123,060.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,680.40 : 460,020.60 = 82,040.40 : x
  2. Step 2: Convert to fraction form
    306,680.40/460,020.60 = 82,040.40/x
  3. Step 3: Cross multiply
    306,680.40x = 460,020.60 × 82,040.40
  4. Step 4: Simplify right side
    306,680.40x = 37,740,274,032.24
  5. Step 5: Solve for x
    x = 37,740,274,032.24/306,680.40
  6. Step 6: Final answer
    x = 123,060.60

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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.