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Finding the Fourth Proportional to 419,302.12, 627,995.02 and 329,139.60

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Solution

The fourth proportional to 419,302.12, 627,995.02 and 329,139.60 is: 492,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,302.12 : 627,995.02 = 329,139.60 : x
  2. Step 2: Convert to fraction form
    419,302.12/627,995.02 = 329,139.60/x
  3. Step 3: Cross multiply
    419,302.12x = 627,995.02 × 329,139.60
  4. Step 4: Simplify right side
    419,302.12x = 206,698,029,684.79
  5. Step 5: Solve for x
    x = 206,698,029,684.79/419,302.12
  6. Step 6: Final answer
    x = 492,957.27

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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.