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Finding the Fourth Proportional to 500,815.10, 751,224 and 145,837.82

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Solution

The fourth proportional to 500,815.10, 751,224 and 145,837.82 is: 218,757.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,815.10 : 751,224 = 145,837.82 : x
  2. Step 2: Convert to fraction form
    500,815.10/751,224 = 145,837.82/x
  3. Step 3: Cross multiply
    500,815.10x = 751,224 × 145,837.82
  4. Step 4: Simplify right side
    500,815.10x = 109,556,870,491.68
  5. Step 5: Solve for x
    x = 109,556,870,491.68/500,815.10
  6. Step 6: Final answer
    x = 218,757.12

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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.