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Finding the Fourth Proportional to 312,205.32, 468,310.68 and 75,548.19

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Solution

The fourth proportional to 312,205.32, 468,310.68 and 75,548.19 is: 113,322.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,205.32 : 468,310.68 = 75,548.19 : x
  2. Step 2: Convert to fraction form
    312,205.32/468,310.68 = 75,548.19/x
  3. Step 3: Cross multiply
    312,205.32x = 468,310.68 × 75,548.19
  4. Step 4: Simplify right side
    312,205.32x = 35,380,024,231.67
  5. Step 5: Solve for x
    x = 35,380,024,231.67/312,205.32
  6. Step 6: Final answer
    x = 113,322.94

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1.5x scale

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.