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Finding the Fourth Proportional to 418,908.32, 578,076.22 and 227,922.47

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Solution

The fourth proportional to 418,908.32, 578,076.22 and 227,922.47 is: 314,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,908.32 : 578,076.22 = 227,922.47 : x
  2. Step 2: Convert to fraction form
    418,908.32/578,076.22 = 227,922.47/x
  3. Step 3: Cross multiply
    418,908.32x = 578,076.22 × 227,922.47
  4. Step 4: Simplify right side
    418,908.32x = 131,756,562,083.62
  5. Step 5: Solve for x
    x = 131,756,562,083.62/418,908.32
  6. Step 6: Final answer
    x = 314,523.62

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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.