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Finding the Fourth Proportional to 418,394.99, 577,380.69 and 227,406.98

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Solution

The fourth proportional to 418,394.99, 577,380.69 and 227,406.98 is: 313,819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,394.99 : 577,380.69 = 227,406.98 : x
  2. Step 2: Convert to fraction form
    418,394.99/577,380.69 = 227,406.98/x
  3. Step 3: Cross multiply
    418,394.99x = 577,380.69 × 227,406.98
  4. Step 4: Simplify right side
    418,394.99x = 131,300,400,466.67
  5. Step 5: Solve for x
    x = 131,300,400,466.67/418,394.99
  6. Step 6: Final answer
    x = 313,819.24

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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.