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Finding the Fourth Proportional to 509,704.02, 764,648.22 and 210,017.90

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Solution

The fourth proportional to 509,704.02, 764,648.22 and 210,017.90 is: 315,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,704.02 : 764,648.22 = 210,017.90 : x
  2. Step 2: Convert to fraction form
    509,704.02/764,648.22 = 210,017.90/x
  3. Step 3: Cross multiply
    509,704.02x = 764,648.22 × 210,017.90
  4. Step 4: Simplify right side
    509,704.02x = 160,589,813,403.14
  5. Step 5: Solve for x
    x = 160,589,813,403.14/509,704.02
  6. Step 6: Final answer
    x = 315,064.84

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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.