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Finding the Fourth Proportional to 207,478.64, 311,245.23 and 74,374.04

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Solution

The fourth proportional to 207,478.64, 311,245.23 and 74,374.04 is: 111,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,478.64 : 311,245.23 = 74,374.04 : x
  2. Step 2: Convert to fraction form
    207,478.64/311,245.23 = 74,374.04/x
  3. Step 3: Cross multiply
    207,478.64x = 311,245.23 × 74,374.04
  4. Step 4: Simplify right side
    207,478.64x = 23,148,565,185.83
  5. Step 5: Solve for x
    x = 23,148,565,185.83/207,478.64
  6. Step 6: Final answer
    x = 111,570.84

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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.