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Finding the Fourth Proportional to 378,948.09, 522,947.28 and 209,181

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Solution

The fourth proportional to 378,948.09, 522,947.28 and 209,181 is: 288,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,948.09 : 522,947.28 = 209,181 : x
  2. Step 2: Convert to fraction form
    378,948.09/522,947.28 = 209,181/x
  3. Step 3: Cross multiply
    378,948.09x = 522,947.28 × 209,181
  4. Step 4: Simplify right side
    378,948.09x = 109,390,634,977.68
  5. Step 5: Solve for x
    x = 109,390,634,977.68/378,948.09
  6. Step 6: Final answer
    x = 288,669.18

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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.