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Finding the Fourth Proportional to 278,298.42, 384,051.63 and 150,974.04

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Solution

The fourth proportional to 278,298.42, 384,051.63 and 150,974.04 is: 208,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,298.42 : 384,051.63 = 150,974.04 : x
  2. Step 2: Convert to fraction form
    278,298.42/384,051.63 = 150,974.04/x
  3. Step 3: Cross multiply
    278,298.42x = 384,051.63 × 150,974.04
  4. Step 4: Simplify right side
    278,298.42x = 57,981,826,149.69
  5. Step 5: Solve for x
    x = 57,981,826,149.69/278,298.42
  6. Step 6: Final answer
    x = 208,344.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.