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Finding the Fourth Proportional to 275,726.46, 413,943.89 and 212,586.69

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Solution

The fourth proportional to 275,726.46, 413,943.89 and 212,586.69 is: 319,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,726.46 : 413,943.89 = 212,586.69 : x
  2. Step 2: Convert to fraction form
    275,726.46/413,943.89 = 212,586.69/x
  3. Step 3: Cross multiply
    275,726.46x = 413,943.89 × 212,586.69
  4. Step 4: Simplify right side
    275,726.46x = 87,998,960,357.89
  5. Step 5: Solve for x
    x = 87,998,960,357.89/275,726.46
  6. Step 6: Final answer
    x = 319,153.12

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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.