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Finding the Fourth Proportional to 312,482.48, 468,745.64 and 125,494

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Solution

The fourth proportional to 312,482.48, 468,745.64 and 125,494 is: 188,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,482.48 : 468,745.64 = 125,494 : x
  2. Step 2: Convert to fraction form
    312,482.48/468,745.64 = 125,494/x
  3. Step 3: Cross multiply
    312,482.48x = 468,745.64 × 125,494
  4. Step 4: Simplify right side
    312,482.48x = 58,824,765,346.16
  5. Step 5: Solve for x
    x = 58,824,765,346.16/312,482.48
  6. Step 6: Final answer
    x = 188,249.80

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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.