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Finding the Fourth Proportional to 309,805.38, 427,531.64 and 173,820.56

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Solution

The fourth proportional to 309,805.38, 427,531.64 and 173,820.56 is: 239,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,805.38 : 427,531.64 = 173,820.56 : x
  2. Step 2: Convert to fraction form
    309,805.38/427,531.64 = 173,820.56/x
  3. Step 3: Cross multiply
    309,805.38x = 427,531.64 × 173,820.56
  4. Step 4: Simplify right side
    309,805.38x = 74,313,789,082.52
  5. Step 5: Solve for x
    x = 74,313,789,082.52/309,805.38
  6. Step 6: Final answer
    x = 239,872.49

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1.5x scale

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.