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Finding the Fourth Proportional to 200,719.60, 301,079.40 and 199,337.20

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Solution

The fourth proportional to 200,719.60, 301,079.40 and 199,337.20 is: 299,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,719.60 : 301,079.40 = 199,337.20 : x
  2. Step 2: Convert to fraction form
    200,719.60/301,079.40 = 199,337.20/x
  3. Step 3: Cross multiply
    200,719.60x = 301,079.40 × 199,337.20
  4. Step 4: Simplify right side
    200,719.60x = 60,016,324,573.68
  5. Step 5: Solve for x
    x = 60,016,324,573.68/200,719.60
  6. Step 6: Final answer
    x = 299,005.80

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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.