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Finding the Fourth Proportional to 713,686, 984,886.68 and 395,734

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Solution

The fourth proportional to 713,686, 984,886.68 and 395,734 is: 546,112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,686 : 984,886.68 = 395,734 : x
  2. Step 2: Convert to fraction form
    713,686/984,886.68 = 395,734/x
  3. Step 3: Cross multiply
    713,686x = 984,886.68 × 395,734
  4. Step 4: Simplify right side
    713,686x = 389,753,145,423.12
  5. Step 5: Solve for x
    x = 389,753,145,423.12/713,686
  6. Step 6: Final answer
    x = 546,112.92

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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.