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Finding the Fourth Proportional to 378,934.80, 567,653.40 and 192,080.40

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Solution

The fourth proportional to 378,934.80, 567,653.40 and 192,080.40 is: 287,741.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,934.80 : 567,653.40 = 192,080.40 : x
  2. Step 2: Convert to fraction form
    378,934.80/567,653.40 = 192,080.40/x
  3. Step 3: Cross multiply
    378,934.80x = 567,653.40 × 192,080.40
  4. Step 4: Simplify right side
    378,934.80x = 109,035,092,133.36
  5. Step 5: Solve for x
    x = 109,035,092,133.36/378,934.80
  6. Step 6: Final answer
    x = 287,741.04

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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.