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Finding the Fourth Proportional to 299,250.28, 412,965.40 and 191,820.52

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Solution

The fourth proportional to 299,250.28, 412,965.40 and 191,820.52 is: 264,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,250.28 : 412,965.40 = 191,820.52 : x
  2. Step 2: Convert to fraction form
    299,250.28/412,965.40 = 191,820.52/x
  3. Step 3: Cross multiply
    299,250.28x = 412,965.40 × 191,820.52
  4. Step 4: Simplify right side
    299,250.28x = 79,215,235,705.18
  5. Step 5: Solve for x
    x = 79,215,235,705.18/299,250.28
  6. Step 6: Final answer
    x = 264,712.32

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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.