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Finding the Fourth Proportional to 892,800.64, 1,339,203.36 and 218,884.96

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Solution

The fourth proportional to 892,800.64, 1,339,203.36 and 218,884.96 is: 328,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,800.64 : 1,339,203.36 = 218,884.96 : x
  2. Step 2: Convert to fraction form
    892,800.64/1,339,203.36 = 218,884.96/x
  3. Step 3: Cross multiply
    892,800.64x = 1,339,203.36 × 218,884.96
  4. Step 4: Simplify right side
    892,800.64x = 293,131,473,885.47
  5. Step 5: Solve for x
    x = 293,131,473,885.47/892,800.64
  6. Step 6: Final answer
    x = 328,328.03

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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.