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Finding the Fourth Proportional to 511,884.12, 767,498.11 and 212,571.30

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Solution

The fourth proportional to 511,884.12, 767,498.11 and 212,571.30 is: 318,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,884.12 : 767,498.11 = 212,571.30 : x
  2. Step 2: Convert to fraction form
    511,884.12/767,498.11 = 212,571.30/x
  3. Step 3: Cross multiply
    511,884.12x = 767,498.11 × 212,571.30
  4. Step 4: Simplify right side
    511,884.12x = 163,148,070,990.24
  5. Step 5: Solve for x
    x = 163,148,070,990.24/511,884.12
  6. Step 6: Final answer
    x = 318,720.71

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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.