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Finding the Fourth Proportional to 311,990, 468,033.72 and 101,578.40

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Solution

The fourth proportional to 311,990, 468,033.72 and 101,578.40 is: 152,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,990 : 468,033.72 = 101,578.40 : x
  2. Step 2: Convert to fraction form
    311,990/468,033.72 = 101,578.40/x
  3. Step 3: Cross multiply
    311,990x = 468,033.72 × 101,578.40
  4. Step 4: Simplify right side
    311,990x = 47,542,116,423.65
  5. Step 5: Solve for x
    x = 47,542,116,423.65/311,990
  6. Step 6: Final answer
    x = 152,383.46

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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.