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Finding the Fourth Proportional to 686,149.53, 946,891.93 and 380,231.06

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Solution

The fourth proportional to 686,149.53, 946,891.93 and 380,231.06 is: 524,721.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,149.53 : 946,891.93 = 380,231.06 : x
  2. Step 2: Convert to fraction form
    686,149.53/946,891.93 = 380,231.06/x
  3. Step 3: Cross multiply
    686,149.53x = 946,891.93 × 380,231.06
  4. Step 4: Simplify right side
    686,149.53x = 360,037,722,249.35
  5. Step 5: Solve for x
    x = 360,037,722,249.35/686,149.53
  6. Step 6: Final answer
    x = 524,721.95

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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.