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Finding the Fourth Proportional to 272,978.92, 409,912.86 and 168,462.28

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Solution

The fourth proportional to 272,978.92, 409,912.86 and 168,462.28 is: 252,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,978.92 : 409,912.86 = 168,462.28 : x
  2. Step 2: Convert to fraction form
    272,978.92/409,912.86 = 168,462.28/x
  3. Step 3: Cross multiply
    272,978.92x = 409,912.86 × 168,462.28
  4. Step 4: Simplify right side
    272,978.92x = 69,054,854,996.92
  5. Step 5: Solve for x
    x = 69,054,854,996.92/272,978.92
  6. Step 6: Final answer
    x = 252,967.72

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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.