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Finding the Fourth Proportional to 279,079.40, 418,619.10 and 200,930.60

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Solution

The fourth proportional to 279,079.40, 418,619.10 and 200,930.60 is: 301,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,079.40 : 418,619.10 = 200,930.60 : x
  2. Step 2: Convert to fraction form
    279,079.40/418,619.10 = 200,930.60/x
  3. Step 3: Cross multiply
    279,079.40x = 418,619.10 × 200,930.60
  4. Step 4: Simplify right side
    279,079.40x = 84,113,386,934.46
  5. Step 5: Solve for x
    x = 84,113,386,934.46/279,079.40
  6. Step 6: Final answer
    x = 301,395.90

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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.