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Finding the Fourth Proportional to 712,154, 982,772.52 and 394,202

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Solution

The fourth proportional to 712,154, 982,772.52 and 394,202 is: 543,998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,154 : 982,772.52 = 394,202 : x
  2. Step 2: Convert to fraction form
    712,154/982,772.52 = 394,202/x
  3. Step 3: Cross multiply
    712,154x = 982,772.52 × 394,202
  4. Step 4: Simplify right side
    712,154x = 387,410,892,929.04
  5. Step 5: Solve for x
    x = 387,410,892,929.04/712,154
  6. Step 6: Final answer
    x = 543,998.76

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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.