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Finding the Fourth Proportional to 283,709.07, 391,515.92 and 154,647.51

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Solution

The fourth proportional to 283,709.07, 391,515.92 and 154,647.51 is: 213,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,709.07 : 391,515.92 = 154,647.51 : x
  2. Step 2: Convert to fraction form
    283,709.07/391,515.92 = 154,647.51/x
  3. Step 3: Cross multiply
    283,709.07x = 391,515.92 × 154,647.51
  4. Step 4: Simplify right side
    283,709.07x = 60,546,961,380.12
  5. Step 5: Solve for x
    x = 60,546,961,380.12/283,709.07
  6. Step 6: Final answer
    x = 213,412.15

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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.