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Finding the Fourth Proportional to 419,145.29, 628,665.96 and 119,652.11

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Solution

The fourth proportional to 419,145.29, 628,665.96 and 119,652.11 is: 179,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,145.29 : 628,665.96 = 119,652.11 : x
  2. Step 2: Convert to fraction form
    419,145.29/628,665.96 = 119,652.11/x
  3. Step 3: Cross multiply
    419,145.29x = 628,665.96 × 119,652.11
  4. Step 4: Simplify right side
    419,145.29x = 75,221,208,599.18
  5. Step 5: Solve for x
    x = 75,221,208,599.18/419,145.29
  6. Step 6: Final answer
    x = 179,463.33

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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.