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Finding the Fourth Proportional to 512,757.96, 769,234.14 and 213,075.84

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Solution

The fourth proportional to 512,757.96, 769,234.14 and 213,075.84 is: 319,654.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,757.96 : 769,234.14 = 213,075.84 : x
  2. Step 2: Convert to fraction form
    512,757.96/769,234.14 = 213,075.84/x
  3. Step 3: Cross multiply
    512,757.96x = 769,234.14 × 213,075.84
  4. Step 4: Simplify right side
    512,757.96x = 163,905,210,537.18
  5. Step 5: Solve for x
    x = 163,905,210,537.18/512,757.96
  6. Step 6: Final answer
    x = 319,654.15

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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.