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Finding the Fourth Proportional to 686,026.35, 946,414.80 and 413,942.49

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Solution

The fourth proportional to 686,026.35, 946,414.80 and 413,942.49 is: 571,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,026.35 : 946,414.80 = 413,942.49 : x
  2. Step 2: Convert to fraction form
    686,026.35/946,414.80 = 413,942.49/x
  3. Step 3: Cross multiply
    686,026.35x = 946,414.80 × 413,942.49
  4. Step 4: Simplify right side
    686,026.35x = 391,761,298,884.85
  5. Step 5: Solve for x
    x = 391,761,298,884.85/686,026.35
  6. Step 6: Final answer
    x = 571,058.68

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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.