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Finding the Fourth Proportional to 686,107.92, 947,290.98 and 428,377.26

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Solution

The fourth proportional to 686,107.92, 947,290.98 and 428,377.26 is: 591,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,107.92 : 947,290.98 = 428,377.26 : x
  2. Step 2: Convert to fraction form
    686,107.92/947,290.98 = 428,377.26/x
  3. Step 3: Cross multiply
    686,107.92x = 947,290.98 × 428,377.26
  4. Step 4: Simplify right side
    686,107.92x = 405,797,914,435.12
  5. Step 5: Solve for x
    x = 405,797,914,435.12/686,107.92
  6. Step 6: Final answer
    x = 591,449.10

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1.5x scale

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.