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Finding the Fourth Proportional to 431,840.67, 646,432.37 and 281,757.79

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Solution

The fourth proportional to 431,840.67, 646,432.37 and 281,757.79 is: 421,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,840.67 : 646,432.37 = 281,757.79 : x
  2. Step 2: Convert to fraction form
    431,840.67/646,432.37 = 281,757.79/x
  3. Step 3: Cross multiply
    431,840.67x = 646,432.37 × 281,757.79
  4. Step 4: Simplify right side
    431,840.67x = 182,137,355,955.66
  5. Step 5: Solve for x
    x = 182,137,355,955.66/431,840.67
  6. Step 6: Final answer
    x = 421,769.81

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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.