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Finding the Fourth Proportional to 305,879.25, 458,916.38 and 128,338.59

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Solution

The fourth proportional to 305,879.25, 458,916.38 and 128,338.59 is: 192,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,879.25 : 458,916.38 = 128,338.59 : x
  2. Step 2: Convert to fraction form
    305,879.25/458,916.38 = 128,338.59/x
  3. Step 3: Cross multiply
    305,879.25x = 458,916.38 × 128,338.59
  4. Step 4: Simplify right side
    305,879.25x = 58,896,680,495.41
  5. Step 5: Solve for x
    x = 58,896,680,495.41/305,879.25
  6. Step 6: Final answer
    x = 192,548.79

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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.