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Finding the Fourth Proportional to 305,719.97, 458,338.78 and 193,162.98

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Solution

The fourth proportional to 305,719.97, 458,338.78 and 193,162.98 is: 289,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,719.97 : 458,338.78 = 193,162.98 : x
  2. Step 2: Convert to fraction form
    305,719.97/458,338.78 = 193,162.98/x
  3. Step 3: Cross multiply
    305,719.97x = 458,338.78 × 193,162.98
  4. Step 4: Simplify right side
    305,719.97x = 88,534,083,433.16
  5. Step 5: Solve for x
    x = 88,534,083,433.16/305,719.97
  6. Step 6: Final answer
    x = 289,592.08

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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.