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Finding the Fourth Proportional to 381,857.60, 572,786.40 and 293,556.80

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Solution

The fourth proportional to 381,857.60, 572,786.40 and 293,556.80 is: 440,335.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,857.60 : 572,786.40 = 293,556.80 : x
  2. Step 2: Convert to fraction form
    381,857.60/572,786.40 = 293,556.80/x
  3. Step 3: Cross multiply
    381,857.60x = 572,786.40 × 293,556.80
  4. Step 4: Simplify right side
    381,857.60x = 168,145,342,667.52
  5. Step 5: Solve for x
    x = 168,145,342,667.52/381,857.60
  6. Step 6: Final answer
    x = 440,335.20

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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.