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Finding the Fourth Proportional to 686,107.75, 946,814.56 and 380,181.46

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Solution

The fourth proportional to 686,107.75, 946,814.56 and 380,181.46 is: 524,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,107.75 : 946,814.56 = 380,181.46 : x
  2. Step 2: Convert to fraction form
    686,107.75/946,814.56 = 380,181.46/x
  3. Step 3: Cross multiply
    686,107.75x = 946,814.56 × 380,181.46
  4. Step 4: Simplify right side
    686,107.75x = 359,961,341,770.06
  5. Step 5: Solve for x
    x = 359,961,341,770.06/686,107.75
  6. Step 6: Final answer
    x = 524,642.58

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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.