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Finding the Fourth Proportional to 667,252.46, 920,874.26 and 380,815.40

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Solution

The fourth proportional to 667,252.46, 920,874.26 and 380,815.40 is: 525,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,252.46 : 920,874.26 = 380,815.40 : x
  2. Step 2: Convert to fraction form
    667,252.46/920,874.26 = 380,815.40/x
  3. Step 3: Cross multiply
    667,252.46x = 920,874.26 × 380,815.40
  4. Step 4: Simplify right side
    667,252.46x = 350,683,093,163.16
  5. Step 5: Solve for x
    x = 350,683,093,163.16/667,252.46
  6. Step 6: Final answer
    x = 525,562.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.