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Finding the Fourth Proportional to 418,880.25, 578,057.31 and 227,895.03

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Solution

The fourth proportional to 418,880.25, 578,057.31 and 227,895.03 is: 314,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,880.25 : 578,057.31 = 227,895.03 : x
  2. Step 2: Convert to fraction form
    418,880.25/578,057.31 = 227,895.03/x
  3. Step 3: Cross multiply
    418,880.25x = 578,057.31 × 227,895.03
  4. Step 4: Simplify right side
    418,880.25x = 131,736,388,004.17
  5. Step 5: Solve for x
    x = 131,736,388,004.17/418,880.25
  6. Step 6: Final answer
    x = 314,496.54

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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.