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Finding the Fourth Proportional to 304,204.48, 419,363.04 and 208,559.68

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Solution

The fourth proportional to 304,204.48, 419,363.04 and 208,559.68 is: 287,511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,204.48 : 419,363.04 = 208,559.68 : x
  2. Step 2: Convert to fraction form
    304,204.48/419,363.04 = 208,559.68/x
  3. Step 3: Cross multiply
    304,204.48x = 419,363.04 × 208,559.68
  4. Step 4: Simplify right side
    304,204.48x = 87,462,221,426.23
  5. Step 5: Solve for x
    x = 87,462,221,426.23/304,204.48
  6. Step 6: Final answer
    x = 287,511.29

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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.