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Finding the Fourth Proportional to 423,565.78, 635,207.73 and 170,780.98

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Solution

The fourth proportional to 423,565.78, 635,207.73 and 170,780.98 is: 256,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,565.78 : 635,207.73 = 170,780.98 : x
  2. Step 2: Convert to fraction form
    423,565.78/635,207.73 = 170,780.98/x
  3. Step 3: Cross multiply
    423,565.78x = 635,207.73 × 170,780.98
  4. Step 4: Simplify right side
    423,565.78x = 108,481,396,191.05
  5. Step 5: Solve for x
    x = 108,481,396,191.05/423,565.78
  6. Step 6: Final answer
    x = 256,114.64

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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.