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Finding the Fourth Proportional to 419,008.29, 625,662.94 and 395,328.71

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Solution

The fourth proportional to 419,008.29, 625,662.94 and 395,328.71 is: 590,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,008.29 : 625,662.94 = 395,328.71 : x
  2. Step 2: Convert to fraction form
    419,008.29/625,662.94 = 395,328.71/x
  3. Step 3: Cross multiply
    419,008.29x = 625,662.94 × 395,328.71
  4. Step 4: Simplify right side
    419,008.29x = 247,342,517,860.05
  5. Step 5: Solve for x
    x = 247,342,517,860.05/419,008.29
  6. Step 6: Final answer
    x = 590,304.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.