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Finding the Fourth Proportional to 305,958.60, 458,780.28 and 137,334.36

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Solution

The fourth proportional to 305,958.60, 458,780.28 and 137,334.36 is: 205,930.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,958.60 : 458,780.28 = 137,334.36 : x
  2. Step 2: Convert to fraction form
    305,958.60/458,780.28 = 137,334.36/x
  3. Step 3: Cross multiply
    305,958.60x = 458,780.28 × 137,334.36
  4. Step 4: Simplify right side
    305,958.60x = 63,006,296,134.42
  5. Step 5: Solve for x
    x = 63,006,296,134.42/305,958.60
  6. Step 6: Final answer
    x = 205,930.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.