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Finding the Fourth Proportional to 312,992.64, 468,687.60 and 172,595.52

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Solution

The fourth proportional to 312,992.64, 468,687.60 and 172,595.52 is: 258,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,992.64 : 468,687.60 = 172,595.52 : x
  2. Step 2: Convert to fraction form
    312,992.64/468,687.60 = 172,595.52/x
  3. Step 3: Cross multiply
    312,992.64x = 468,687.60 × 172,595.52
  4. Step 4: Simplify right side
    312,992.64x = 80,893,380,039.55
  5. Step 5: Solve for x
    x = 80,893,380,039.55/312,992.64
  6. Step 6: Final answer
    x = 258,451.38

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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.