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Finding the Fourth Proportional to 505,392.30, 757,432.89 and 205,523.82

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Solution

The fourth proportional to 505,392.30, 757,432.89 and 205,523.82 is: 308,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,392.30 : 757,432.89 = 205,523.82 : x
  2. Step 2: Convert to fraction form
    505,392.30/757,432.89 = 205,523.82/x
  3. Step 3: Cross multiply
    505,392.30x = 757,432.89 × 205,523.82
  4. Step 4: Simplify right side
    505,392.30x = 155,670,500,946.44
  5. Step 5: Solve for x
    x = 155,670,500,946.44/505,392.30
  6. Step 6: Final answer
    x = 308,019.14

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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.