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Finding the Fourth Proportional to 686,006.32, 946,676.49 and 380,076.61

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Solution

The fourth proportional to 686,006.32, 946,676.49 and 380,076.61 is: 524,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,006.32 : 946,676.49 = 380,076.61 : x
  2. Step 2: Convert to fraction form
    686,006.32/946,676.49 = 380,076.61/x
  3. Step 3: Cross multiply
    686,006.32x = 946,676.49 × 380,076.61
  4. Step 4: Simplify right side
    686,006.32x = 359,809,591,085.90
  5. Step 5: Solve for x
    x = 359,809,591,085.90/686,006.32
  6. Step 6: Final answer
    x = 524,498.94

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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.