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Finding the Fourth Proportional to 686,207.97, 946,969.38 and 380,289.47

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Solution

The fourth proportional to 686,207.97, 946,969.38 and 380,289.47 is: 524,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,207.97 : 946,969.38 = 380,289.47 : x
  2. Step 2: Convert to fraction form
    686,207.97/946,969.38 = 380,289.47/x
  3. Step 3: Cross multiply
    686,207.97x = 946,969.38 × 380,289.47
  4. Step 4: Simplify right side
    686,207.97x = 360,122,478,891.58
  5. Step 5: Solve for x
    x = 360,122,478,891.58/686,207.97
  6. Step 6: Final answer
    x = 524,800.78

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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.