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Finding the Fourth Proportional to 418,337.82, 577,309.80 and 227,351.25

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Solution

The fourth proportional to 418,337.82, 577,309.80 and 227,351.25 is: 313,746.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,337.82 : 577,309.80 = 227,351.25 : x
  2. Step 2: Convert to fraction form
    418,337.82/577,309.80 = 227,351.25/x
  3. Step 3: Cross multiply
    418,337.82x = 577,309.80 × 227,351.25
  4. Step 4: Simplify right side
    418,337.82x = 131,252,104,667.25
  5. Step 5: Solve for x
    x = 131,252,104,667.25/418,337.82
  6. Step 6: Final answer
    x = 313,746.69

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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.