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Finding the Fourth Proportional to 301,638.92, 451,769.34 and 143,978.36

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Solution

The fourth proportional to 301,638.92, 451,769.34 and 143,978.36 is: 215,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,638.92 : 451,769.34 = 143,978.36 : x
  2. Step 2: Convert to fraction form
    301,638.92/451,769.34 = 143,978.36/x
  3. Step 3: Cross multiply
    301,638.92x = 451,769.34 × 143,978.36
  4. Step 4: Simplify right side
    301,638.92x = 65,045,008,671.48
  5. Step 5: Solve for x
    x = 65,045,008,671.48/301,638.92
  6. Step 6: Final answer
    x = 215,638.65

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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.