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Finding the Fourth Proportional to 375,015.12, 517,517.80 and 205,248.84

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Solution

The fourth proportional to 375,015.12, 517,517.80 and 205,248.84 is: 283,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,015.12 : 517,517.80 = 205,248.84 : x
  2. Step 2: Convert to fraction form
    375,015.12/517,517.80 = 205,248.84/x
  3. Step 3: Cross multiply
    375,015.12x = 517,517.80 × 205,248.84
  4. Step 4: Simplify right side
    375,015.12x = 106,219,928,129.35
  5. Step 5: Solve for x
    x = 106,219,928,129.35/375,015.12
  6. Step 6: Final answer
    x = 283,241.72

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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.