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Finding the Fourth Proportional to 418,709.86, 577,822.34 and 227,724.64

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Solution

The fourth proportional to 418,709.86, 577,822.34 and 227,724.64 is: 314,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,709.86 : 577,822.34 = 227,724.64 : x
  2. Step 2: Convert to fraction form
    418,709.86/577,822.34 = 227,724.64/x
  3. Step 3: Cross multiply
    418,709.86x = 577,822.34 × 227,724.64
  4. Step 4: Simplify right side
    418,709.86x = 131,584,384,360.46
  5. Step 5: Solve for x
    x = 131,584,384,360.46/418,709.86
  6. Step 6: Final answer
    x = 314,261.49

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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.