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Finding the Fourth Proportional to 201,644.60, 302,466.90 and 191,803.10

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Solution

The fourth proportional to 201,644.60, 302,466.90 and 191,803.10 is: 287,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,644.60 : 302,466.90 = 191,803.10 : x
  2. Step 2: Convert to fraction form
    201,644.60/302,466.90 = 191,803.10/x
  3. Step 3: Cross multiply
    201,644.60x = 302,466.90 × 191,803.10
  4. Step 4: Simplify right side
    201,644.60x = 58,014,089,067.39
  5. Step 5: Solve for x
    x = 58,014,089,067.39/201,644.60
  6. Step 6: Final answer
    x = 287,704.65

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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.