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Finding the Fourth Proportional to 311,976.60, 468,051.30 and 207,000.60

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Solution

The fourth proportional to 311,976.60, 468,051.30 and 207,000.60 is: 310,558.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,976.60 : 468,051.30 = 207,000.60 : x
  2. Step 2: Convert to fraction form
    311,976.60/468,051.30 = 207,000.60/x
  3. Step 3: Cross multiply
    311,976.60x = 468,051.30 × 207,000.60
  4. Step 4: Simplify right side
    311,976.60x = 96,886,899,930.78
  5. Step 5: Solve for x
    x = 96,886,899,930.78/311,976.60
  6. Step 6: Final answer
    x = 310,558.23

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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.