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Finding the Fourth Proportional to 299,965.82, 414,057.08 and 172,692.14

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Solution

The fourth proportional to 299,965.82, 414,057.08 and 172,692.14 is: 238,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,965.82 : 414,057.08 = 172,692.14 : x
  2. Step 2: Convert to fraction form
    299,965.82/414,057.08 = 172,692.14/x
  3. Step 3: Cross multiply
    299,965.82x = 414,057.08 × 172,692.14
  4. Step 4: Simplify right side
    299,965.82x = 71,504,402,363.89
  5. Step 5: Solve for x
    x = 71,504,402,363.89/299,965.82
  6. Step 6: Final answer
    x = 238,375.17

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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.