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Finding the Fourth Proportional to 431,175.58, 647,204.72 and 356,056.38

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Solution

The fourth proportional to 431,175.58, 647,204.72 and 356,056.38 is: 534,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,175.58 : 647,204.72 = 356,056.38 : x
  2. Step 2: Convert to fraction form
    431,175.58/647,204.72 = 356,056.38/x
  3. Step 3: Cross multiply
    431,175.58x = 647,204.72 × 356,056.38
  4. Step 4: Simplify right side
    431,175.58x = 230,441,367,941.83
  5. Step 5: Solve for x
    x = 230,441,367,941.83/431,175.58
  6. Step 6: Final answer
    x = 534,449.03

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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.