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Finding the Fourth Proportional to 394,433.80, 591,213.30 and 217,068.10

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Solution

The fourth proportional to 394,433.80, 591,213.30 and 217,068.10 is: 325,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,433.80 : 591,213.30 = 217,068.10 : x
  2. Step 2: Convert to fraction form
    394,433.80/591,213.30 = 217,068.10/x
  3. Step 3: Cross multiply
    394,433.80x = 591,213.30 × 217,068.10
  4. Step 4: Simplify right side
    394,433.80x = 128,333,547,725.73
  5. Step 5: Solve for x
    x = 128,333,547,725.73/394,433.80
  6. Step 6: Final answer
    x = 325,361.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.