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Finding the Fourth Proportional to 386,891.46, 533,926.89 and 214,809.43

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Solution

The fourth proportional to 386,891.46, 533,926.89 and 214,809.43 is: 296,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,891.46 : 533,926.89 = 214,809.43 : x
  2. Step 2: Convert to fraction form
    386,891.46/533,926.89 = 214,809.43/x
  3. Step 3: Cross multiply
    386,891.46x = 533,926.89 × 214,809.43
  4. Step 4: Simplify right side
    386,891.46x = 114,692,529,828.53
  5. Step 5: Solve for x
    x = 114,692,529,828.53/386,891.46
  6. Step 6: Final answer
    x = 296,446.27

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1.5x scale

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.