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Finding the Fourth Proportional to 505,335.33, 758,000.57 and 205,744.88

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Solution

The fourth proportional to 505,335.33, 758,000.57 and 205,744.88 is: 308,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,335.33 : 758,000.57 = 205,744.88 : x
  2. Step 2: Convert to fraction form
    505,335.33/758,000.57 = 205,744.88/x
  3. Step 3: Cross multiply
    505,335.33x = 758,000.57 × 205,744.88
  4. Step 4: Simplify right side
    505,335.33x = 155,954,737,180.86
  5. Step 5: Solve for x
    x = 155,954,737,180.86/505,335.33
  6. Step 6: Final answer
    x = 308,616.33

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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.