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Finding the Fourth Proportional to 384,910.80, 576,934.20 and 185,326.80

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Solution

The fourth proportional to 384,910.80, 576,934.20 and 185,326.80 is: 277,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,910.80 : 576,934.20 = 185,326.80 : x
  2. Step 2: Convert to fraction form
    384,910.80/576,934.20 = 185,326.80/x
  3. Step 3: Cross multiply
    384,910.80x = 576,934.20 × 185,326.80
  4. Step 4: Simplify right side
    384,910.80x = 106,921,369,096.56
  5. Step 5: Solve for x
    x = 106,921,369,096.56/384,910.80
  6. Step 6: Final answer
    x = 277,782.20

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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.