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Finding the Fourth Proportional to 375,342.45, 518,009.82 and 214,221.91

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Solution

The fourth proportional to 375,342.45, 518,009.82 and 214,221.91 is: 295,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,342.45 : 518,009.82 = 214,221.91 : x
  2. Step 2: Convert to fraction form
    375,342.45/518,009.82 = 214,221.91/x
  3. Step 3: Cross multiply
    375,342.45x = 518,009.82 × 214,221.91
  4. Step 4: Simplify right side
    375,342.45x = 110,969,050,449.11
  5. Step 5: Solve for x
    x = 110,969,050,449.11/375,342.45
  6. Step 6: Final answer
    x = 295,647.48

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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.