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Finding the Fourth Proportional to 384,497.40, 576,789.30 and 118,255.80

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Solution

The fourth proportional to 384,497.40, 576,789.30 and 118,255.80 is: 177,396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,497.40 : 576,789.30 = 118,255.80 : x
  2. Step 2: Convert to fraction form
    384,497.40/576,789.30 = 118,255.80/x
  3. Step 3: Cross multiply
    384,497.40x = 576,789.30 × 118,255.80
  4. Step 4: Simplify right side
    384,497.40x = 68,208,680,102.94
  5. Step 5: Solve for x
    x = 68,208,680,102.94/384,497.40
  6. Step 6: Final answer
    x = 177,396.99

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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.