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Finding the Fourth Proportional to 407,760.20, 611,640.30 and 401,855.30

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Solution

The fourth proportional to 407,760.20, 611,640.30 and 401,855.30 is: 602,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,760.20 : 611,640.30 = 401,855.30 : x
  2. Step 2: Convert to fraction form
    407,760.20/611,640.30 = 401,855.30/x
  3. Step 3: Cross multiply
    407,760.20x = 611,640.30 × 401,855.30
  4. Step 4: Simplify right side
    407,760.20x = 245,790,896,248.59
  5. Step 5: Solve for x
    x = 245,790,896,248.59/407,760.20
  6. Step 6: Final answer
    x = 602,782.95

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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.