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Finding the Fourth Proportional to 382,740, 574,248.24 and 120,084

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Solution

The fourth proportional to 382,740, 574,248.24 and 120,084 is: 180,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,740 : 574,248.24 = 120,084 : x
  2. Step 2: Convert to fraction form
    382,740/574,248.24 = 120,084/x
  3. Step 3: Cross multiply
    382,740x = 574,248.24 × 120,084
  4. Step 4: Simplify right side
    382,740x = 68,958,025,652.16
  5. Step 5: Solve for x
    x = 68,958,025,652.16/382,740
  6. Step 6: Final answer
    x = 180,169.37

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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.