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Finding the Fourth Proportional to 419,037.42, 628,204.05 and 339,955.50

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Solution

The fourth proportional to 419,037.42, 628,204.05 and 339,955.50 is: 509,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,037.42 : 628,204.05 = 339,955.50 : x
  2. Step 2: Convert to fraction form
    419,037.42/628,204.05 = 339,955.50/x
  3. Step 3: Cross multiply
    419,037.42x = 628,204.05 × 339,955.50
  4. Step 4: Simplify right side
    419,037.42x = 213,561,421,919.78
  5. Step 5: Solve for x
    x = 213,561,421,919.78/419,037.42
  6. Step 6: Final answer
    x = 509,647.62

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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.