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Finding the Fourth Proportional to 394,113, 543,878.10 and 215,265

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Solution

The fourth proportional to 394,113, 543,878.10 and 215,265 is: 297,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,113 : 543,878.10 = 215,265 : x
  2. Step 2: Convert to fraction form
    394,113/543,878.10 = 215,265/x
  3. Step 3: Cross multiply
    394,113x = 543,878.10 × 215,265
  4. Step 4: Simplify right side
    394,113x = 117,077,919,196.50
  5. Step 5: Solve for x
    x = 117,077,919,196.50/394,113
  6. Step 6: Final answer
    x = 297,066.88

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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.