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Finding the Fourth Proportional to 418,410.92, 577,410.50 and 227,424.36

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Solution

The fourth proportional to 418,410.92, 577,410.50 and 227,424.36 is: 313,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,410.92 : 577,410.50 = 227,424.36 : x
  2. Step 2: Convert to fraction form
    418,410.92/577,410.50 = 227,424.36/x
  3. Step 3: Cross multiply
    418,410.92x = 577,410.50 × 227,424.36
  4. Step 4: Simplify right side
    418,410.92x = 131,317,213,419.78
  5. Step 5: Solve for x
    x = 131,317,213,419.78/418,410.92
  6. Step 6: Final answer
    x = 313,847.48

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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.