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Finding the Fourth Proportional to 753,978, 1,040,491.80 and 431,693.04

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Solution

The fourth proportional to 753,978, 1,040,491.80 and 431,693.04 is: 595,737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,978 : 1,040,491.80 = 431,693.04 : x
  2. Step 2: Convert to fraction form
    753,978/1,040,491.80 = 431,693.04/x
  3. Step 3: Cross multiply
    753,978x = 1,040,491.80 × 431,693.04
  4. Step 4: Simplify right side
    753,978x = 449,173,068,237.07
  5. Step 5: Solve for x
    x = 449,173,068,237.07/753,978
  6. Step 6: Final answer
    x = 595,737.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.