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Finding the Fourth Proportional to 223,414.10, 312,079.90 and 223,414.10

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Solution

The fourth proportional to 223,414.10, 312,079.90 and 223,414.10 is: 312,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,414.10 : 312,079.90 = 223,414.10 : x
  2. Step 2: Convert to fraction form
    223,414.10/312,079.90 = 223,414.10/x
  3. Step 3: Cross multiply
    223,414.10x = 312,079.90 × 223,414.10
  4. Step 4: Simplify right side
    223,414.10x = 69,723,049,986.59
  5. Step 5: Solve for x
    x = 69,723,049,986.59/223,414.10
  6. Step 6: Final answer
    x = 312,079.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.