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Finding the Fourth Proportional to 375,054.75, 517,575.56 and 205,288.88

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Solution

The fourth proportional to 375,054.75, 517,575.56 and 205,288.88 is: 283,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,054.75 : 517,575.56 = 205,288.88 : x
  2. Step 2: Convert to fraction form
    375,054.75/517,575.56 = 205,288.88/x
  3. Step 3: Cross multiply
    375,054.75x = 517,575.56 × 205,288.88
  4. Step 4: Simplify right side
    375,054.75x = 106,252,503,413.45
  5. Step 5: Solve for x
    x = 106,252,503,413.45/375,054.75
  6. Step 6: Final answer
    x = 283,298.65

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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.