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Finding the Fourth Proportional to 418,704.42, 577,795.50 and 227,717.76

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Solution

The fourth proportional to 418,704.42, 577,795.50 and 227,717.76 is: 314,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,704.42 : 577,795.50 = 227,717.76 : x
  2. Step 2: Convert to fraction form
    418,704.42/577,795.50 = 227,717.76/x
  3. Step 3: Cross multiply
    418,704.42x = 577,795.50 × 227,717.76
  4. Step 4: Simplify right side
    418,704.42x = 131,574,296,998.08
  5. Step 5: Solve for x
    x = 131,574,296,998.08/418,704.42
  6. Step 6: Final answer
    x = 314,241.48

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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.