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Finding the Fourth Proportional to 512,675.64, 769,031.92 and 192,798.18

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Solution

The fourth proportional to 512,675.64, 769,031.92 and 192,798.18 is: 289,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,675.64 : 769,031.92 = 192,798.18 : x
  2. Step 2: Convert to fraction form
    512,675.64/769,031.92 = 192,798.18/x
  3. Step 3: Cross multiply
    512,675.64x = 769,031.92 × 192,798.18
  4. Step 4: Simplify right side
    512,675.64x = 148,267,954,537.91
  5. Step 5: Solve for x
    x = 148,267,954,537.91/512,675.64
  6. Step 6: Final answer
    x = 289,204.21

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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.