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Finding the Fourth Proportional to 338,782.96, 467,508.73 and 187,894

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Solution

The fourth proportional to 338,782.96, 467,508.73 and 187,894 is: 259,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,782.96 : 467,508.73 = 187,894 : x
  2. Step 2: Convert to fraction form
    338,782.96/467,508.73 = 187,894/x
  3. Step 3: Cross multiply
    338,782.96x = 467,508.73 × 187,894
  4. Step 4: Simplify right side
    338,782.96x = 87,842,085,314.62
  5. Step 5: Solve for x
    x = 87,842,085,314.62/338,782.96
  6. Step 6: Final answer
    x = 259,287.20

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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.