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Finding the Fourth Proportional to 686,149.33, 946,891.68 and 380,230.82

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Solution

The fourth proportional to 686,149.33, 946,891.68 and 380,230.82 is: 524,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,149.33 : 946,891.68 = 380,230.82 : x
  2. Step 2: Convert to fraction form
    686,149.33/946,891.68 = 380,230.82/x
  3. Step 3: Cross multiply
    686,149.33x = 946,891.68 × 380,230.82
  4. Step 4: Simplify right side
    686,149.33x = 360,037,398,397.50
  5. Step 5: Solve for x
    x = 360,037,398,397.50/686,149.33
  6. Step 6: Final answer
    x = 524,721.64

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Double scale
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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.