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Finding the Fourth Proportional to 283,796.90, 391,642.78 and 154,734.32

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Solution

The fourth proportional to 283,796.90, 391,642.78 and 154,734.32 is: 213,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,796.90 : 391,642.78 = 154,734.32 : x
  2. Step 2: Convert to fraction form
    283,796.90/391,642.78 = 154,734.32/x
  3. Step 3: Cross multiply
    283,796.90x = 391,642.78 × 154,734.32
  4. Step 4: Simplify right side
    283,796.90x = 60,600,579,246.21
  5. Step 5: Solve for x
    x = 60,600,579,246.21/283,796.90
  6. Step 6: Final answer
    x = 213,535.03

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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.