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Finding the Fourth Proportional to 419,257.28, 578,959.44 and 266,344.64

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Solution

The fourth proportional to 419,257.28, 578,959.44 and 266,344.64 is: 367,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,257.28 : 578,959.44 = 266,344.64 : x
  2. Step 2: Convert to fraction form
    419,257.28/578,959.44 = 266,344.64/x
  3. Step 3: Cross multiply
    419,257.28x = 578,959.44 × 266,344.64
  4. Step 4: Simplify right side
    419,257.28x = 154,202,743,621.40
  5. Step 5: Solve for x
    x = 154,202,743,621.40/419,257.28
  6. Step 6: Final answer
    x = 367,799.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.