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Finding the Fourth Proportional to 278,148.54, 417,118.05 and 100,611.66

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Solution

The fourth proportional to 278,148.54, 417,118.05 and 100,611.66 is: 150,879.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,148.54 : 417,118.05 = 100,611.66 : x
  2. Step 2: Convert to fraction form
    278,148.54/417,118.05 = 100,611.66/x
  3. Step 3: Cross multiply
    278,148.54x = 417,118.05 × 100,611.66
  4. Step 4: Simplify right side
    278,148.54x = 41,966,939,426.46
  5. Step 5: Solve for x
    x = 41,966,939,426.46/278,148.54
  6. Step 6: Final answer
    x = 150,879.60

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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.