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Finding the Fourth Proportional to 431,800.26, 646,352.57 and 318,076.29

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Solution

The fourth proportional to 431,800.26, 646,352.57 and 318,076.29 is: 476,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,800.26 : 646,352.57 = 318,076.29 : x
  2. Step 2: Convert to fraction form
    431,800.26/646,352.57 = 318,076.29/x
  3. Step 3: Cross multiply
    431,800.26x = 646,352.57 × 318,076.29
  4. Step 4: Simplify right side
    431,800.26x = 205,589,425,907.18
  5. Step 5: Solve for x
    x = 205,589,425,907.18/431,800.26
  6. Step 6: Final answer
    x = 476,121.59

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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.