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Finding the Fourth Proportional to 278,309.90, 384,340.47 and 192,488.78

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Solution

The fourth proportional to 278,309.90, 384,340.47 and 192,488.78 is: 265,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,309.90 : 384,340.47 = 192,488.78 : x
  2. Step 2: Convert to fraction form
    278,309.90/384,340.47 = 192,488.78/x
  3. Step 3: Cross multiply
    278,309.90x = 384,340.47 × 192,488.78
  4. Step 4: Simplify right side
    278,309.90x = 73,981,228,174.93
  5. Step 5: Solve for x
    x = 73,981,228,174.93/278,309.90
  6. Step 6: Final answer
    x = 265,823.20

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1.5x scale

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.