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Finding the Fourth Proportional to 278,456.95, 417,732.81 and 109,889.07

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Solution

The fourth proportional to 278,456.95, 417,732.81 and 109,889.07 is: 164,852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,456.95 : 417,732.81 = 109,889.07 : x
  2. Step 2: Convert to fraction form
    278,456.95/417,732.81 = 109,889.07/x
  3. Step 3: Cross multiply
    278,456.95x = 417,732.81 × 109,889.07
  4. Step 4: Simplify right side
    278,456.95x = 45,904,269,999.39
  5. Step 5: Solve for x
    x = 45,904,269,999.39/278,456.95
  6. Step 6: Final answer
    x = 164,852.30

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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.