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Finding the Fourth Proportional to 375,764.88, 518,544.81 and 214,616.61

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Solution

The fourth proportional to 375,764.88, 518,544.81 and 214,616.61 is: 296,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,764.88 : 518,544.81 = 214,616.61 : x
  2. Step 2: Convert to fraction form
    375,764.88/518,544.81 = 214,616.61/x
  3. Step 3: Cross multiply
    375,764.88x = 518,544.81 × 214,616.61
  4. Step 4: Simplify right side
    375,764.88x = 111,288,329,255.29
  5. Step 5: Solve for x
    x = 111,288,329,255.29/375,764.88
  6. Step 6: Final answer
    x = 296,164.80

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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.