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Finding the Fourth Proportional to 386,716.44, 533,549.06 and 225,457.38

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Solution

The fourth proportional to 386,716.44, 533,549.06 and 225,457.38 is: 311,061.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,716.44 : 533,549.06 = 225,457.38 : x
  2. Step 2: Convert to fraction form
    386,716.44/533,549.06 = 225,457.38/x
  3. Step 3: Cross multiply
    386,716.44x = 533,549.06 × 225,457.38
  4. Step 4: Simplify right side
    386,716.44x = 120,292,573,169.06
  5. Step 5: Solve for x
    x = 120,292,573,169.06/386,716.44
  6. Step 6: Final answer
    x = 311,061.44

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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.