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Finding the Fourth Proportional to 431,072.55, 646,608.83 and 281,773.35

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Solution

The fourth proportional to 431,072.55, 646,608.83 and 281,773.35 is: 422,660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,072.55 : 646,608.83 = 281,773.35 : x
  2. Step 2: Convert to fraction form
    431,072.55/646,608.83 = 281,773.35/x
  3. Step 3: Cross multiply
    431,072.55x = 646,608.83 × 281,773.35
  4. Step 4: Simplify right side
    431,072.55x = 182,197,134,759.81
  5. Step 5: Solve for x
    x = 182,197,134,759.81/431,072.55
  6. Step 6: Final answer
    x = 422,660.03

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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.