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Finding the Fourth Proportional to 305,187.20, 457,975.20 and 178,827.20

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Solution

The fourth proportional to 305,187.20, 457,975.20 and 178,827.20 is: 268,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,187.20 : 457,975.20 = 178,827.20 : x
  2. Step 2: Convert to fraction form
    305,187.20/457,975.20 = 178,827.20/x
  3. Step 3: Cross multiply
    305,187.20x = 457,975.20 × 178,827.20
  4. Step 4: Simplify right side
    305,187.20x = 81,898,422,685.44
  5. Step 5: Solve for x
    x = 81,898,422,685.44/305,187.20
  6. Step 6: Final answer
    x = 268,354.71

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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.