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Finding the Fourth Proportional to 541,837.80, 811,374.30 and 431,245.80

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Solution

The fourth proportional to 541,837.80, 811,374.30 and 431,245.80 is: 645,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,837.80 : 811,374.30 = 431,245.80 : x
  2. Step 2: Convert to fraction form
    541,837.80/811,374.30 = 431,245.80/x
  3. Step 3: Cross multiply
    541,837.80x = 811,374.30 × 431,245.80
  4. Step 4: Simplify right side
    541,837.80x = 349,901,759,102.94
  5. Step 5: Solve for x
    x = 349,901,759,102.94/541,837.80
  6. Step 6: Final answer
    x = 645,768.46

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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.