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Finding the Fourth Proportional to 418,439.84, 577,447.36 and 227,453.22

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Solution

The fourth proportional to 418,439.84, 577,447.36 and 227,453.22 is: 313,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,439.84 : 577,447.36 = 227,453.22 : x
  2. Step 2: Convert to fraction form
    418,439.84/577,447.36 = 227,453.22/x
  3. Step 3: Cross multiply
    418,439.84x = 577,447.36 × 227,453.22
  4. Step 4: Simplify right side
    418,439.84x = 131,342,260,843.87
  5. Step 5: Solve for x
    x = 131,342,260,843.87/418,439.84
  6. Step 6: Final answer
    x = 313,885.65

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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.