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Finding the Fourth Proportional to 525,843.09, 788,448.69 and 205,613.46

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Solution

The fourth proportional to 525,843.09, 788,448.69 and 205,613.46 is: 308,296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,843.09 : 788,448.69 = 205,613.46 : x
  2. Step 2: Convert to fraction form
    525,843.09/788,448.69 = 205,613.46/x
  3. Step 3: Cross multiply
    525,843.09x = 788,448.69 × 205,613.46
  4. Step 4: Simplify right side
    525,843.09x = 162,115,663,183.37
  5. Step 5: Solve for x
    x = 162,115,663,183.37/525,843.09
  6. Step 6: Final answer
    x = 308,296.65

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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.