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Finding the Fourth Proportional to 429,395.85, 644,093.78 and 419,554.35

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Solution

The fourth proportional to 429,395.85, 644,093.78 and 419,554.35 is: 629,331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,395.85 : 644,093.78 = 419,554.35 : x
  2. Step 2: Convert to fraction form
    429,395.85/644,093.78 = 419,554.35/x
  3. Step 3: Cross multiply
    429,395.85x = 644,093.78 × 419,554.35
  4. Step 4: Simplify right side
    429,395.85x = 270,232,345,109.17
  5. Step 5: Solve for x
    x = 270,232,345,109.17/429,395.85
  6. Step 6: Final answer
    x = 629,331.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.