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Finding the Fourth Proportional to 312,431.94, 468,574.74 and 87,813.90

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Solution

The fourth proportional to 312,431.94, 468,574.74 and 87,813.90 is: 131,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,431.94 : 468,574.74 = 87,813.90 : x
  2. Step 2: Convert to fraction form
    312,431.94/468,574.74 = 87,813.90/x
  3. Step 3: Cross multiply
    312,431.94x = 468,574.74 × 87,813.90
  4. Step 4: Simplify right side
    312,431.94x = 41,147,375,360.89
  5. Step 5: Solve for x
    x = 41,147,375,360.89/312,431.94
  6. Step 6: Final answer
    x = 131,700.28

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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.