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Finding the Fourth Proportional to 386,028, 532,739.88 and 213,942.39

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Solution

The fourth proportional to 386,028, 532,739.88 and 213,942.39 is: 295,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,028 : 532,739.88 = 213,942.39 : x
  2. Step 2: Convert to fraction form
    386,028/532,739.88 = 213,942.39/x
  3. Step 3: Cross multiply
    386,028x = 532,739.88 × 213,942.39
  4. Step 4: Simplify right side
    386,028x = 113,975,643,175.51
  5. Step 5: Solve for x
    x = 113,975,643,175.51/386,028
  6. Step 6: Final answer
    x = 295,252.27

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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.