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Finding the Fourth Proportional to 686,004.32, 946,673.73 and 380,074.61

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Solution

The fourth proportional to 686,004.32, 946,673.73 and 380,074.61 is: 524,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,004.32 : 946,673.73 = 380,074.61 : x
  2. Step 2: Convert to fraction form
    686,004.32/946,673.73 = 380,074.61/x
  3. Step 3: Cross multiply
    686,004.32x = 946,673.73 × 380,074.61
  4. Step 4: Simplify right side
    686,004.32x = 359,806,651,093.68
  5. Step 5: Solve for x
    x = 359,806,651,093.68/686,004.32
  6. Step 6: Final answer
    x = 524,496.19

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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.