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Finding the Fourth Proportional to 275,300.91, 412,946.51 and 75,620.52

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Solution

The fourth proportional to 275,300.91, 412,946.51 and 75,620.52 is: 113,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,300.91 : 412,946.51 = 75,620.52 : x
  2. Step 2: Convert to fraction form
    275,300.91/412,946.51 = 75,620.52/x
  3. Step 3: Cross multiply
    275,300.91x = 412,946.51 × 75,620.52
  4. Step 4: Simplify right side
    275,300.91x = 31,227,229,440.28
  5. Step 5: Solve for x
    x = 31,227,229,440.28/275,300.91
  6. Step 6: Final answer
    x = 113,429.45

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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.