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Finding the Fourth Proportional to 386,712.46, 533,655.15 and 214,620.43

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Solution

The fourth proportional to 386,712.46, 533,655.15 and 214,620.43 is: 296,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,712.46 : 533,655.15 = 214,620.43 : x
  2. Step 2: Convert to fraction form
    386,712.46/533,655.15 = 214,620.43/x
  3. Step 3: Cross multiply
    386,712.46x = 533,655.15 × 214,620.43
  4. Step 4: Simplify right side
    386,712.46x = 114,533,297,764.72
  5. Step 5: Solve for x
    x = 114,533,297,764.72/386,712.46
  6. Step 6: Final answer
    x = 296,171.73

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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.