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Finding the Fourth Proportional to 312,368.91, 468,199.14 and 143,540.37

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Solution

The fourth proportional to 312,368.91, 468,199.14 and 143,540.37 is: 215,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,368.91 : 468,199.14 = 143,540.37 : x
  2. Step 2: Convert to fraction form
    312,368.91/468,199.14 = 143,540.37/x
  3. Step 3: Cross multiply
    312,368.91x = 468,199.14 × 143,540.37
  4. Step 4: Simplify right side
    312,368.91x = 67,205,477,251.01
  5. Step 5: Solve for x
    x = 67,205,477,251.01/312,368.91
  6. Step 6: Final answer
    x = 215,147.78

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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.