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Finding the Fourth Proportional to 204,648.30, 307,628.55 and 145,890.90

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Solution

The fourth proportional to 204,648.30, 307,628.55 and 145,890.90 is: 219,304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,648.30 : 307,628.55 = 145,890.90 : x
  2. Step 2: Convert to fraction form
    204,648.30/307,628.55 = 145,890.90/x
  3. Step 3: Cross multiply
    204,648.30x = 307,628.55 × 145,890.90
  4. Step 4: Simplify right side
    204,648.30x = 44,880,206,025.20
  5. Step 5: Solve for x
    x = 44,880,206,025.20/204,648.30
  6. Step 6: Final answer
    x = 219,304.07

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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.