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Finding the Fourth Proportional to 363,880.80, 545,821.20 and 287,773.20

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Solution

The fourth proportional to 363,880.80, 545,821.20 and 287,773.20 is: 431,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,880.80 : 545,821.20 = 287,773.20 : x
  2. Step 2: Convert to fraction form
    363,880.80/545,821.20 = 287,773.20/x
  3. Step 3: Cross multiply
    363,880.80x = 545,821.20 × 287,773.20
  4. Step 4: Simplify right side
    363,880.80x = 157,072,713,351.84
  5. Step 5: Solve for x
    x = 157,072,713,351.84/363,880.80
  6. Step 6: Final answer
    x = 431,659.80

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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.