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Finding the Fourth Proportional to 312,144.36, 468,105.84 and 112,411.05

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Solution

The fourth proportional to 312,144.36, 468,105.84 and 112,411.05 is: 168,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,144.36 : 468,105.84 = 112,411.05 : x
  2. Step 2: Convert to fraction form
    312,144.36/468,105.84 = 112,411.05/x
  3. Step 3: Cross multiply
    312,144.36x = 468,105.84 × 112,411.05
  4. Step 4: Simplify right side
    312,144.36x = 52,620,268,985.53
  5. Step 5: Solve for x
    x = 52,620,268,985.53/312,144.36
  6. Step 6: Final answer
    x = 168,576.71

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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.