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Finding the Fourth Proportional to 402,599.45, 603,998.06 and 200,291.01

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Solution

The fourth proportional to 402,599.45, 603,998.06 and 200,291.01 is: 300,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,599.45 : 603,998.06 = 200,291.01 : x
  2. Step 2: Convert to fraction form
    402,599.45/603,998.06 = 200,291.01/x
  3. Step 3: Cross multiply
    402,599.45x = 603,998.06 × 200,291.01
  4. Step 4: Simplify right side
    402,599.45x = 120,975,380,473.99
  5. Step 5: Solve for x
    x = 120,975,380,473.99/402,599.45
  6. Step 6: Final answer
    x = 300,485.71

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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.