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Finding the Fourth Proportional to 375,057.90, 517,575.69 and 205,290

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Solution

The fourth proportional to 375,057.90, 517,575.69 and 205,290 is: 283,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,057.90 : 517,575.69 = 205,290 : x
  2. Step 2: Convert to fraction form
    375,057.90/517,575.69 = 205,290/x
  3. Step 3: Cross multiply
    375,057.90x = 517,575.69 × 205,290
  4. Step 4: Simplify right side
    375,057.90x = 106,253,113,400.10
  5. Step 5: Solve for x
    x = 106,253,113,400.10/375,057.90
  6. Step 6: Final answer
    x = 283,297.89

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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.