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Finding the Fourth Proportional to 200,453.32, 300,620.12 and 109,254.50

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Solution

The fourth proportional to 200,453.32, 300,620.12 and 109,254.50 is: 163,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,453.32 : 300,620.12 = 109,254.50 : x
  2. Step 2: Convert to fraction form
    200,453.32/300,620.12 = 109,254.50/x
  3. Step 3: Cross multiply
    200,453.32x = 300,620.12 × 109,254.50
  4. Step 4: Simplify right side
    200,453.32x = 32,844,100,354.27
  5. Step 5: Solve for x
    x = 32,844,100,354.27/200,453.32
  6. Step 6: Final answer
    x = 163,849.13

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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.