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Finding the Fourth Proportional to 418,549.33, 577,621.70 and 227,558.62

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Solution

The fourth proportional to 418,549.33, 577,621.70 and 227,558.62 is: 314,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,549.33 : 577,621.70 = 227,558.62 : x
  2. Step 2: Convert to fraction form
    418,549.33/577,621.70 = 227,558.62/x
  3. Step 3: Cross multiply
    418,549.33x = 577,621.70 × 227,558.62
  4. Step 4: Simplify right side
    418,549.33x = 131,442,796,934.05
  5. Step 5: Solve for x
    x = 131,442,796,934.05/418,549.33
  6. Step 6: Final answer
    x = 314,043.74

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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.