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Finding the Fourth Proportional to 355,842, 491,062.32 and 204,939.36

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Solution

The fourth proportional to 355,842, 491,062.32 and 204,939.36 is: 282,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,842 : 491,062.32 = 204,939.36 : x
  2. Step 2: Convert to fraction form
    355,842/491,062.32 = 204,939.36/x
  3. Step 3: Cross multiply
    355,842x = 491,062.32 × 204,939.36
  4. Step 4: Simplify right side
    355,842x = 100,637,997,580.92
  5. Step 5: Solve for x
    x = 100,637,997,580.92/355,842
  6. Step 6: Final answer
    x = 282,816.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.