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Finding the Fourth Proportional to 275,407.54, 412,986.70 and 97,919.28

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Solution

The fourth proportional to 275,407.54, 412,986.70 and 97,919.28 is: 146,834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,407.54 : 412,986.70 = 97,919.28 : x
  2. Step 2: Convert to fraction form
    275,407.54/412,986.70 = 97,919.28/x
  3. Step 3: Cross multiply
    275,407.54x = 412,986.70 × 97,919.28
  4. Step 4: Simplify right side
    275,407.54x = 40,439,360,435.98
  5. Step 5: Solve for x
    x = 40,439,360,435.98/275,407.54
  6. Step 6: Final answer
    x = 146,834.61

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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.