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Finding the Fourth Proportional to 312,313.05, 468,399.41 and 143,671.41

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Solution

The fourth proportional to 312,313.05, 468,399.41 and 143,671.41 is: 215,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,313.05 : 468,399.41 = 143,671.41 : x
  2. Step 2: Convert to fraction form
    312,313.05/468,399.41 = 143,671.41/x
  3. Step 3: Cross multiply
    312,313.05x = 468,399.41 × 143,671.41
  4. Step 4: Simplify right side
    312,313.05x = 67,295,602,959.51
  5. Step 5: Solve for x
    x = 67,295,602,959.51/312,313.05
  6. Step 6: Final answer
    x = 215,474.84

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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.