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Finding the Fourth Proportional to 204,710.40, 307,065.60 and 200,563.20

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Solution

The fourth proportional to 204,710.40, 307,065.60 and 200,563.20 is: 300,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,710.40 : 307,065.60 = 200,563.20 : x
  2. Step 2: Convert to fraction form
    204,710.40/307,065.60 = 200,563.20/x
  3. Step 3: Cross multiply
    204,710.40x = 307,065.60 × 200,563.20
  4. Step 4: Simplify right side
    204,710.40x = 61,586,059,345.92
  5. Step 5: Solve for x
    x = 61,586,059,345.92/204,710.40
  6. Step 6: Final answer
    x = 300,844.80

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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.