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Finding the Fourth Proportional to 419,382.10, 628,548.54 and 330,283.72

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Solution

The fourth proportional to 419,382.10, 628,548.54 and 330,283.72 is: 495,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,382.10 : 628,548.54 = 330,283.72 : x
  2. Step 2: Convert to fraction form
    419,382.10/628,548.54 = 330,283.72/x
  3. Step 3: Cross multiply
    419,382.10x = 628,548.54 × 330,283.72
  4. Step 4: Simplify right side
    419,382.10x = 207,599,349,991.77
  5. Step 5: Solve for x
    x = 207,599,349,991.77/419,382.10
  6. Step 6: Final answer
    x = 495,012.42

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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.