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Finding the Fourth Proportional to 384,863.80, 577,986.90 and 279,801.40

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Solution

The fourth proportional to 384,863.80, 577,986.90 and 279,801.40 is: 420,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,863.80 : 577,986.90 = 279,801.40 : x
  2. Step 2: Convert to fraction form
    384,863.80/577,986.90 = 279,801.40/x
  3. Step 3: Cross multiply
    384,863.80x = 577,986.90 × 279,801.40
  4. Step 4: Simplify right side
    384,863.80x = 161,721,543,801.66
  5. Step 5: Solve for x
    x = 161,721,543,801.66/384,863.80
  6. Step 6: Final answer
    x = 420,204.61

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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.