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Finding the Fourth Proportional to 437,298.12, 655,722 and 200,437.92

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Solution

The fourth proportional to 437,298.12, 655,722 and 200,437.92 is: 300,553.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,298.12 : 655,722 = 200,437.92 : x
  2. Step 2: Convert to fraction form
    437,298.12/655,722 = 200,437.92/x
  3. Step 3: Cross multiply
    437,298.12x = 655,722 × 200,437.92
  4. Step 4: Simplify right side
    437,298.12x = 131,431,553,778.24
  5. Step 5: Solve for x
    x = 131,431,553,778.24/437,298.12
  6. Step 6: Final answer
    x = 300,553.67

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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.