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Finding the Fourth Proportional to 204,907.20, 307,360.80 and 200,970.60

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Solution

The fourth proportional to 204,907.20, 307,360.80 and 200,970.60 is: 301,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,907.20 : 307,360.80 = 200,970.60 : x
  2. Step 2: Convert to fraction form
    204,907.20/307,360.80 = 200,970.60/x
  3. Step 3: Cross multiply
    204,907.20x = 307,360.80 × 200,970.60
  4. Step 4: Simplify right side
    204,907.20x = 61,770,484,392.48
  5. Step 5: Solve for x
    x = 61,770,484,392.48/204,907.20
  6. Step 6: Final answer
    x = 301,455.90

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1.5x scale

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.