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Finding the Fourth Proportional to 686,380.90, 946,885.26 and 431,872.42

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Solution

The fourth proportional to 686,380.90, 946,885.26 and 431,872.42 is: 595,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,380.90 : 946,885.26 = 431,872.42 : x
  2. Step 2: Convert to fraction form
    686,380.90/946,885.26 = 431,872.42/x
  3. Step 3: Cross multiply
    686,380.90x = 946,885.26 × 431,872.42
  4. Step 4: Simplify right side
    686,380.90x = 408,933,626,331.32
  5. Step 5: Solve for x
    x = 408,933,626,331.32/686,380.90
  6. Step 6: Final answer
    x = 595,782.35

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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.