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Finding the Fourth Proportional to 418,648, 577,786.56 and 239,800

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Solution

The fourth proportional to 418,648, 577,786.56 and 239,800 is: 330,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,648 : 577,786.56 = 239,800 : x
  2. Step 2: Convert to fraction form
    418,648/577,786.56 = 239,800/x
  3. Step 3: Cross multiply
    418,648x = 577,786.56 × 239,800
  4. Step 4: Simplify right side
    418,648x = 138,553,217,088
  5. Step 5: Solve for x
    x = 138,553,217,088/418,648
  6. Step 6: Final answer
    x = 330,953.97

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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.