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Finding the Fourth Proportional to 418,410.50, 577,407.29 and 227,423.43

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Solution

The fourth proportional to 418,410.50, 577,407.29 and 227,423.43 is: 313,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,410.50 : 577,407.29 = 227,423.43 : x
  2. Step 2: Convert to fraction form
    418,410.50/577,407.29 = 227,423.43/x
  3. Step 3: Cross multiply
    418,410.50x = 577,407.29 × 227,423.43
  4. Step 4: Simplify right side
    418,410.50x = 131,315,945,261.69
  5. Step 5: Solve for x
    x = 131,315,945,261.69/418,410.50
  6. Step 6: Final answer
    x = 313,844.77

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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.