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Finding the Fourth Proportional to 505,396.30, 757,438.88 and 205,527.82

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Solution

The fourth proportional to 505,396.30, 757,438.88 and 205,527.82 is: 308,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,396.30 : 757,438.88 = 205,527.82 : x
  2. Step 2: Convert to fraction form
    505,396.30/757,438.88 = 205,527.82/x
  3. Step 3: Cross multiply
    505,396.30x = 757,438.88 × 205,527.82
  4. Step 4: Simplify right side
    505,396.30x = 155,674,761,789.64
  5. Step 5: Solve for x
    x = 155,674,761,789.64/505,396.30
  6. Step 6: Final answer
    x = 308,025.13

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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.