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Finding the Fourth Proportional to 375,087.90, 517,633.65 and 205,321.98

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Solution

The fourth proportional to 375,087.90, 517,633.65 and 205,321.98 is: 283,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,087.90 : 517,633.65 = 205,321.98 : x
  2. Step 2: Convert to fraction form
    375,087.90/517,633.65 = 205,321.98/x
  3. Step 3: Cross multiply
    375,087.90x = 517,633.65 × 205,321.98
  4. Step 4: Simplify right side
    375,087.90x = 106,281,565,932.63
  5. Step 5: Solve for x
    x = 106,281,565,932.63/375,087.90
  6. Step 6: Final answer
    x = 283,351.09

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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.