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Finding the Fourth Proportional to 419,960.09, 628,959.19 and 386,049.59

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Solution

The fourth proportional to 419,960.09, 628,959.19 and 386,049.59 is: 578,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,960.09 : 628,959.19 = 386,049.59 : x
  2. Step 2: Convert to fraction form
    419,960.09/628,959.19 = 386,049.59/x
  3. Step 3: Cross multiply
    419,960.09x = 628,959.19 × 386,049.59
  4. Step 4: Simplify right side
    419,960.09x = 242,809,438,033.51
  5. Step 5: Solve for x
    x = 242,809,438,033.51/419,960.09
  6. Step 6: Final answer
    x = 578,172.65

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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.