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Finding the Fourth Proportional to 505,188.60, 757,126.74 and 205,320.21

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Solution

The fourth proportional to 505,188.60, 757,126.74 and 205,320.21 is: 307,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,188.60 : 757,126.74 = 205,320.21 : x
  2. Step 2: Convert to fraction form
    505,188.60/757,126.74 = 205,320.21/x
  3. Step 3: Cross multiply
    505,188.60x = 757,126.74 × 205,320.21
  4. Step 4: Simplify right side
    505,188.60x = 155,453,421,253.42
  5. Step 5: Solve for x
    x = 155,453,421,253.42/505,188.60
  6. Step 6: Final answer
    x = 307,713.64

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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.