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Finding the Fourth Proportional to 347,857.20, 521,810.10 and 137,467.80

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Solution

The fourth proportional to 347,857.20, 521,810.10 and 137,467.80 is: 206,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,857.20 : 521,810.10 = 137,467.80 : x
  2. Step 2: Convert to fraction form
    347,857.20/521,810.10 = 137,467.80/x
  3. Step 3: Cross multiply
    347,857.20x = 521,810.10 × 137,467.80
  4. Step 4: Simplify right side
    347,857.20x = 71,732,086,464.78
  5. Step 5: Solve for x
    x = 71,732,086,464.78/347,857.20
  6. Step 6: Final answer
    x = 206,211.30

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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.