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Finding the Fourth Proportional to 278,644.37, 417,912.14 and 89,053.88

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Solution

The fourth proportional to 278,644.37, 417,912.14 and 89,053.88 is: 133,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,644.37 : 417,912.14 = 89,053.88 : x
  2. Step 2: Convert to fraction form
    278,644.37/417,912.14 = 89,053.88/x
  3. Step 3: Cross multiply
    278,644.37x = 417,912.14 × 89,053.88
  4. Step 4: Simplify right side
    278,644.37x = 37,216,695,031.27
  5. Step 5: Solve for x
    x = 37,216,695,031.27/278,644.37
  6. Step 6: Final answer
    x = 133,563.42

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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.