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Finding the Fourth Proportional to 686,195.34, 946,922.23 and 380,284.80

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Solution

The fourth proportional to 686,195.34, 946,922.23 and 380,284.80 is: 524,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,195.34 : 946,922.23 = 380,284.80 : x
  2. Step 2: Convert to fraction form
    686,195.34/946,922.23 = 380,284.80/x
  3. Step 3: Cross multiply
    686,195.34x = 946,922.23 × 380,284.80
  4. Step 4: Simplify right side
    686,195.34x = 360,100,130,851.10
  5. Step 5: Solve for x
    x = 360,100,130,851.10/686,195.34
  6. Step 6: Final answer
    x = 524,777.87

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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.