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Finding the Fourth Proportional to 512,810.40, 769,216.18 and 133,730.80

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Solution

The fourth proportional to 512,810.40, 769,216.18 and 133,730.80 is: 200,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,810.40 : 769,216.18 = 133,730.80 : x
  2. Step 2: Convert to fraction form
    512,810.40/769,216.18 = 133,730.80/x
  3. Step 3: Cross multiply
    512,810.40x = 769,216.18 × 133,730.80
  4. Step 4: Simplify right side
    512,810.40x = 102,867,895,124.34
  5. Step 5: Solve for x
    x = 102,867,895,124.34/512,810.40
  6. Step 6: Final answer
    x = 200,596.35

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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.