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Finding the Fourth Proportional to 378,109.50, 521,802.05 and 208,354.56

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Solution

The fourth proportional to 378,109.50, 521,802.05 and 208,354.56 is: 287,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,109.50 : 521,802.05 = 208,354.56 : x
  2. Step 2: Convert to fraction form
    378,109.50/521,802.05 = 208,354.56/x
  3. Step 3: Cross multiply
    378,109.50x = 521,802.05 × 208,354.56
  4. Step 4: Simplify right side
    378,109.50x = 108,719,835,493.08
  5. Step 5: Solve for x
    x = 108,719,835,493.08/378,109.50
  6. Step 6: Final answer
    x = 287,535.32

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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.