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Finding the Fourth Proportional to 418,493.10, 577,507.95 and 227,501.58

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Solution

The fourth proportional to 418,493.10, 577,507.95 and 227,501.58 is: 313,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,493.10 : 577,507.95 = 227,501.58 : x
  2. Step 2: Convert to fraction form
    418,493.10/577,507.95 = 227,501.58/x
  3. Step 3: Cross multiply
    418,493.10x = 577,507.95 × 227,501.58
  4. Step 4: Simplify right side
    418,493.10x = 131,383,971,087.56
  5. Step 5: Solve for x
    x = 131,383,971,087.56/418,493.10
  6. Step 6: Final answer
    x = 313,945.37

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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.