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Finding the Fourth Proportional to 394,715.16, 591,219.81 and 207,333

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Solution

The fourth proportional to 394,715.16, 591,219.81 and 207,333 is: 310,551.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,715.16 : 591,219.81 = 207,333 : x
  2. Step 2: Convert to fraction form
    394,715.16/591,219.81 = 207,333/x
  3. Step 3: Cross multiply
    394,715.16x = 591,219.81 × 207,333
  4. Step 4: Simplify right side
    394,715.16x = 122,579,376,866.73
  5. Step 5: Solve for x
    x = 122,579,376,866.73/394,715.16
  6. Step 6: Final answer
    x = 310,551.48

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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.