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Finding the Fourth Proportional to 713,682, 984,881.16 and 395,730

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Solution

The fourth proportional to 713,682, 984,881.16 and 395,730 is: 546,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,682 : 984,881.16 = 395,730 : x
  2. Step 2: Convert to fraction form
    713,682/984,881.16 = 395,730/x
  3. Step 3: Cross multiply
    713,682x = 984,881.16 × 395,730
  4. Step 4: Simplify right side
    713,682x = 389,747,021,446.80
  5. Step 5: Solve for x
    x = 389,747,021,446.80/713,682
  6. Step 6: Final answer
    x = 546,107.40

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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.