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Finding the Fourth Proportional to 311,450.78, 466,811.73 and 142,987.37

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Solution

The fourth proportional to 311,450.78, 466,811.73 and 142,987.37 is: 214,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,450.78 : 466,811.73 = 142,987.37 : x
  2. Step 2: Convert to fraction form
    311,450.78/466,811.73 = 142,987.37/x
  3. Step 3: Cross multiply
    311,450.78x = 466,811.73 × 142,987.37
  4. Step 4: Simplify right side
    311,450.78x = 66,748,181,923.53
  5. Step 5: Solve for x
    x = 66,748,181,923.53/311,450.78
  6. Step 6: Final answer
    x = 214,313.74

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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.