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Finding the Fourth Proportional to 283,797.90, 391,644.16 and 154,735.32

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Solution

The fourth proportional to 283,797.90, 391,644.16 and 154,735.32 is: 213,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,797.90 : 391,644.16 = 154,735.32 : x
  2. Step 2: Convert to fraction form
    283,797.90/391,644.16 = 154,735.32/x
  3. Step 3: Cross multiply
    283,797.90x = 391,644.16 × 154,735.32
  4. Step 4: Simplify right side
    283,797.90x = 60,601,183,071.45
  5. Step 5: Solve for x
    x = 60,601,183,071.45/283,797.90
  6. Step 6: Final answer
    x = 213,536.40

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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.