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Finding the Fourth Proportional to 712,164, 982,786.32 and 394,212

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Solution

The fourth proportional to 712,164, 982,786.32 and 394,212 is: 544,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,164 : 982,786.32 = 394,212 : x
  2. Step 2: Convert to fraction form
    712,164/982,786.32 = 394,212/x
  3. Step 3: Cross multiply
    712,164x = 982,786.32 × 394,212
  4. Step 4: Simplify right side
    712,164x = 387,426,160,779.84
  5. Step 5: Solve for x
    x = 387,426,160,779.84/712,164
  6. Step 6: Final answer
    x = 544,012.56

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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.