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Finding the Fourth Proportional to 369,115.20, 553,672.80 and 200,716.20

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Solution

The fourth proportional to 369,115.20, 553,672.80 and 200,716.20 is: 301,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,115.20 : 553,672.80 = 200,716.20 : x
  2. Step 2: Convert to fraction form
    369,115.20/553,672.80 = 200,716.20/x
  3. Step 3: Cross multiply
    369,115.20x = 553,672.80 × 200,716.20
  4. Step 4: Simplify right side
    369,115.20x = 111,131,100,459.36
  5. Step 5: Solve for x
    x = 111,131,100,459.36/369,115.20
  6. Step 6: Final answer
    x = 301,074.30

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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.