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Finding the Fourth Proportional to 686,106.75, 946,813.19 and 380,180.46

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Solution

The fourth proportional to 686,106.75, 946,813.19 and 380,180.46 is: 524,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,106.75 : 946,813.19 = 380,180.46 : x
  2. Step 2: Convert to fraction form
    686,106.75/946,813.19 = 380,180.46/x
  3. Step 3: Cross multiply
    686,106.75x = 946,813.19 × 380,180.46
  4. Step 4: Simplify right side
    686,106.75x = 359,959,872,207.37
  5. Step 5: Solve for x
    x = 359,959,872,207.37/686,106.75
  6. Step 6: Final answer
    x = 524,641.21

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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.