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Finding the Fourth Proportional to 283,643.28, 391,422.43 and 154,582.81

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Solution

The fourth proportional to 283,643.28, 391,422.43 and 154,582.81 is: 213,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,643.28 : 391,422.43 = 154,582.81 : x
  2. Step 2: Convert to fraction form
    283,643.28/391,422.43 = 154,582.81/x
  3. Step 3: Cross multiply
    283,643.28x = 391,422.43 × 154,582.81
  4. Step 4: Simplify right side
    283,643.28x = 60,507,179,126.43
  5. Step 5: Solve for x
    x = 60,507,179,126.43/283,643.28
  6. Step 6: Final answer
    x = 213,321.39

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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.