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Finding the Fourth Proportional to 305,774.88, 458,310.24 and 118,628.16

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Solution

The fourth proportional to 305,774.88, 458,310.24 and 118,628.16 is: 177,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,774.88 : 458,310.24 = 118,628.16 : x
  2. Step 2: Convert to fraction form
    305,774.88/458,310.24 = 118,628.16/x
  3. Step 3: Cross multiply
    305,774.88x = 458,310.24 × 118,628.16
  4. Step 4: Simplify right side
    305,774.88x = 54,368,500,480.36
  5. Step 5: Solve for x
    x = 54,368,500,480.36/305,774.88
  6. Step 6: Final answer
    x = 177,805.65

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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.