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Finding the Fourth Proportional to 275,139.45, 412,217.10 and 169,835.40

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Solution

The fourth proportional to 275,139.45, 412,217.10 and 169,835.40 is: 254,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,139.45 : 412,217.10 = 169,835.40 : x
  2. Step 2: Convert to fraction form
    275,139.45/412,217.10 = 169,835.40/x
  3. Step 3: Cross multiply
    275,139.45x = 412,217.10 × 169,835.40
  4. Step 4: Simplify right side
    275,139.45x = 70,009,056,065.34
  5. Step 5: Solve for x
    x = 70,009,056,065.34/275,139.45
  6. Step 6: Final answer
    x = 254,449.36

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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.