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Finding the Fourth Proportional to 418,472.80, 577,485.66 and 227,491

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Solution

The fourth proportional to 418,472.80, 577,485.66 and 227,491 is: 313,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,472.80 : 577,485.66 = 227,491 : x
  2. Step 2: Convert to fraction form
    418,472.80/577,485.66 = 227,491/x
  3. Step 3: Cross multiply
    418,472.80x = 577,485.66 × 227,491
  4. Step 4: Simplify right side
    418,472.80x = 131,372,790,279.06
  5. Step 5: Solve for x
    x = 131,372,790,279.06/418,472.80
  6. Step 6: Final answer
    x = 313,933.88

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1.5x scale

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.