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Finding the Fourth Proportional to 343,171.70, 514,517.55 and 202,858.10

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Solution

The fourth proportional to 343,171.70, 514,517.55 and 202,858.10 is: 304,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,171.70 : 514,517.55 = 202,858.10 : x
  2. Step 2: Convert to fraction form
    343,171.70/514,517.55 = 202,858.10/x
  3. Step 3: Cross multiply
    343,171.70x = 514,517.55 × 202,858.10
  4. Step 4: Simplify right side
    343,171.70x = 104,374,052,609.66
  5. Step 5: Solve for x
    x = 104,374,052,609.66/343,171.70
  6. Step 6: Final answer
    x = 304,145.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.