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Finding the Fourth Proportional to 386,964.31, 533,992.78 and 214,893.20

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Solution

The fourth proportional to 386,964.31, 533,992.78 and 214,893.20 is: 296,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,964.31 : 533,992.78 = 214,893.20 : x
  2. Step 2: Convert to fraction form
    386,964.31/533,992.78 = 214,893.20/x
  3. Step 3: Cross multiply
    386,964.31x = 533,992.78 × 214,893.20
  4. Step 4: Simplify right side
    386,964.31x = 114,751,417,271.10
  5. Step 5: Solve for x
    x = 114,751,417,271.10/386,964.31
  6. Step 6: Final answer
    x = 296,542.64

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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.