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Finding the Fourth Proportional to 547,080.12, 820,726.38 and 210,096

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Solution

The fourth proportional to 547,080.12, 820,726.38 and 210,096 is: 315,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,080.12 : 820,726.38 = 210,096 : x
  2. Step 2: Convert to fraction form
    547,080.12/820,726.38 = 210,096/x
  3. Step 3: Cross multiply
    547,080.12x = 820,726.38 × 210,096
  4. Step 4: Simplify right side
    547,080.12x = 172,431,329,532.48
  5. Step 5: Solve for x
    x = 172,431,329,532.48/547,080.12
  6. Step 6: Final answer
    x = 315,184.78

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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.