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Finding the Fourth Proportional to 306,719.74, 460,085.72 and 82,079.80

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Solution

The fourth proportional to 306,719.74, 460,085.72 and 82,079.80 is: 123,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,719.74 : 460,085.72 = 82,079.80 : x
  2. Step 2: Convert to fraction form
    306,719.74/460,085.72 = 82,079.80/x
  3. Step 3: Cross multiply
    306,719.74x = 460,085.72 × 82,079.80
  4. Step 4: Simplify right side
    306,719.74x = 37,763,743,880.46
  5. Step 5: Solve for x
    x = 37,763,743,880.46/306,719.74
  6. Step 6: Final answer
    x = 123,121.34

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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.