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Finding the Fourth Proportional to 442,942.40, 664,510.80 and 143,436.80

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Solution

The fourth proportional to 442,942.40, 664,510.80 and 143,436.80 is: 215,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,942.40 : 664,510.80 = 143,436.80 : x
  2. Step 2: Convert to fraction form
    442,942.40/664,510.80 = 143,436.80/x
  3. Step 3: Cross multiply
    442,942.40x = 664,510.80 × 143,436.80
  4. Step 4: Simplify right side
    442,942.40x = 95,315,302,717.44
  5. Step 5: Solve for x
    x = 95,315,302,717.44/442,942.40
  6. Step 6: Final answer
    x = 215,186.68

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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.