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Finding the Fourth Proportional to 400,542.65, 600,912.25 and 120,059.63

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Solution

The fourth proportional to 400,542.65, 600,912.25 and 120,059.63 is: 180,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,542.65 : 600,912.25 = 120,059.63 : x
  2. Step 2: Convert to fraction form
    400,542.65/600,912.25 = 120,059.63/x
  3. Step 3: Cross multiply
    400,542.65x = 600,912.25 × 120,059.63
  4. Step 4: Simplify right side
    400,542.65x = 72,145,299,392.91
  5. Step 5: Solve for x
    x = 72,145,299,392.91/400,542.65
  6. Step 6: Final answer
    x = 180,118.90

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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.