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Finding the Fourth Proportional to 456,079.60, 684,119.40 and 267,122.80

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Solution

The fourth proportional to 456,079.60, 684,119.40 and 267,122.80 is: 400,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,079.60 : 684,119.40 = 267,122.80 : x
  2. Step 2: Convert to fraction form
    456,079.60/684,119.40 = 267,122.80/x
  3. Step 3: Cross multiply
    456,079.60x = 684,119.40 × 267,122.80
  4. Step 4: Simplify right side
    456,079.60x = 182,743,889,662.32
  5. Step 5: Solve for x
    x = 182,743,889,662.32/456,079.60
  6. Step 6: Final answer
    x = 400,684.20

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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.