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Finding the Fourth Proportional to 305,905.40, 458,634.42 and 205,816.76

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Solution

The fourth proportional to 305,905.40, 458,634.42 and 205,816.76 is: 308,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,905.40 : 458,634.42 = 205,816.76 : x
  2. Step 2: Convert to fraction form
    305,905.40/458,634.42 = 205,816.76/x
  3. Step 3: Cross multiply
    305,905.40x = 458,634.42 × 205,816.76
  4. Step 4: Simplify right side
    305,905.40x = 94,394,650,348.88
  5. Step 5: Solve for x
    x = 94,394,650,348.88/305,905.40
  6. Step 6: Final answer
    x = 308,574.65

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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.