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Finding the Fourth Proportional to 375,308.13, 517,962.20 and 214,187.43

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Solution

The fourth proportional to 375,308.13, 517,962.20 and 214,187.43 is: 295,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,308.13 : 517,962.20 = 214,187.43 : x
  2. Step 2: Convert to fraction form
    375,308.13/517,962.20 = 214,187.43/x
  3. Step 3: Cross multiply
    375,308.13x = 517,962.20 × 214,187.43
  4. Step 4: Simplify right side
    375,308.13x = 110,940,991,384.21
  5. Step 5: Solve for x
    x = 110,940,991,384.21/375,308.13
  6. Step 6: Final answer
    x = 295,599.76

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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.