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Finding the Fourth Proportional to 257,979.62, 355,992.36 and 144,780.50

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Solution

The fourth proportional to 257,979.62, 355,992.36 and 144,780.50 is: 199,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,979.62 : 355,992.36 = 144,780.50 : x
  2. Step 2: Convert to fraction form
    257,979.62/355,992.36 = 144,780.50/x
  3. Step 3: Cross multiply
    257,979.62x = 355,992.36 × 144,780.50
  4. Step 4: Simplify right side
    257,979.62x = 51,540,751,876.98
  5. Step 5: Solve for x
    x = 51,540,751,876.98/257,979.62
  6. Step 6: Final answer
    x = 199,786.14

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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.