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Finding the Fourth Proportional to 278,055.86, 417,116.21 and 100,646.42

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Solution

The fourth proportional to 278,055.86, 417,116.21 and 100,646.42 is: 150,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,055.86 : 417,116.21 = 100,646.42 : x
  2. Step 2: Convert to fraction form
    278,055.86/417,116.21 = 100,646.42/x
  3. Step 3: Cross multiply
    278,055.86x = 417,116.21 × 100,646.42
  4. Step 4: Simplify right side
    278,055.86x = 41,981,250,671.66
  5. Step 5: Solve for x
    x = 41,981,250,671.66/278,055.86
  6. Step 6: Final answer
    x = 150,981.36

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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.