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Finding the Fourth Proportional to 713,718, 984,930.84 and 395,766

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Solution

The fourth proportional to 713,718, 984,930.84 and 395,766 is: 546,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,718 : 984,930.84 = 395,766 : x
  2. Step 2: Convert to fraction form
    713,718/984,930.84 = 395,766/x
  3. Step 3: Cross multiply
    713,718x = 984,930.84 × 395,766
  4. Step 4: Simplify right side
    713,718x = 389,802,138,823.44
  5. Step 5: Solve for x
    x = 389,802,138,823.44/713,718
  6. Step 6: Final answer
    x = 546,157.08

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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.