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Finding the Fourth Proportional to 505,628, 758,566.80 and 150,640.64

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Solution

The fourth proportional to 505,628, 758,566.80 and 150,640.64 is: 225,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,628 : 758,566.80 = 150,640.64 : x
  2. Step 2: Convert to fraction form
    505,628/758,566.80 = 150,640.64/x
  3. Step 3: Cross multiply
    505,628x = 758,566.80 × 150,640.64
  4. Step 4: Simplify right side
    505,628x = 114,270,988,234.75
  5. Step 5: Solve for x
    x = 114,270,988,234.75/505,628
  6. Step 6: Final answer
    x = 225,998.14

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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.