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Finding the Fourth Proportional to 378,187.08, 521,917.62 and 208,421.22

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Solution

The fourth proportional to 378,187.08, 521,917.62 and 208,421.22 is: 287,632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,187.08 : 521,917.62 = 208,421.22 : x
  2. Step 2: Convert to fraction form
    378,187.08/521,917.62 = 208,421.22/x
  3. Step 3: Cross multiply
    378,187.08x = 521,917.62 × 208,421.22
  4. Step 4: Simplify right side
    378,187.08x = 108,778,707,099.90
  5. Step 5: Solve for x
    x = 108,778,707,099.90/378,187.08
  6. Step 6: Final answer
    x = 287,632.00

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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.