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Finding the Fourth Proportional to 418,440.50, 577,448.27 and 227,453.90

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Solution

The fourth proportional to 418,440.50, 577,448.27 and 227,453.90 is: 313,886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,440.50 : 577,448.27 = 227,453.90 : x
  2. Step 2: Convert to fraction form
    418,440.50/577,448.27 = 227,453.90/x
  3. Step 3: Cross multiply
    418,440.50x = 577,448.27 × 227,453.90
  4. Step 4: Simplify right side
    418,440.50x = 131,342,857,035.24
  5. Step 5: Solve for x
    x = 131,342,857,035.24/418,440.50
  6. Step 6: Final answer
    x = 313,886.58

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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.