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Finding the Fourth Proportional to 275,288.85, 412,836.08 and 97,801.65

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Solution

The fourth proportional to 275,288.85, 412,836.08 and 97,801.65 is: 146,667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,288.85 : 412,836.08 = 97,801.65 : x
  2. Step 2: Convert to fraction form
    275,288.85/412,836.08 = 97,801.65/x
  3. Step 3: Cross multiply
    275,288.85x = 412,836.08 × 97,801.65
  4. Step 4: Simplify right side
    275,288.85x = 40,376,049,314.52
  5. Step 5: Solve for x
    x = 40,376,049,314.52/275,288.85
  6. Step 6: Final answer
    x = 146,667.94

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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.