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Finding the Fourth Proportional to 418,313.14, 577,269.92 and 227,327.28

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Solution

The fourth proportional to 418,313.14, 577,269.92 and 227,327.28 is: 313,710.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,313.14 : 577,269.92 = 227,327.28 : x
  2. Step 2: Convert to fraction form
    418,313.14/577,269.92 = 227,327.28/x
  3. Step 3: Cross multiply
    418,313.14x = 577,269.92 × 227,327.28
  4. Step 4: Simplify right side
    418,313.14x = 131,229,200,739.42
  5. Step 5: Solve for x
    x = 131,229,200,739.42/418,313.14
  6. Step 6: Final answer
    x = 313,710.44

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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.