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Finding the Fourth Proportional to 419,955.70, 629,933.55 and 412,957.30

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Solution

The fourth proportional to 419,955.70, 629,933.55 and 412,957.30 is: 619,435.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,955.70 : 629,933.55 = 412,957.30 : x
  2. Step 2: Convert to fraction form
    419,955.70/629,933.55 = 412,957.30/x
  3. Step 3: Cross multiply
    419,955.70x = 629,933.55 × 412,957.30
  4. Step 4: Simplify right side
    419,955.70x = 260,135,657,987.42
  5. Step 5: Solve for x
    x = 260,135,657,987.42/419,955.70
  6. Step 6: Final answer
    x = 619,435.95

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Similar ratio
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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.