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Finding the Fourth Proportional to 378,813.92, 522,749.50 and 209,044.40

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Solution

The fourth proportional to 378,813.92, 522,749.50 and 209,044.40 is: 288,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,813.92 : 522,749.50 = 209,044.40 : x
  2. Step 2: Convert to fraction form
    378,813.92/522,749.50 = 209,044.40/x
  3. Step 3: Cross multiply
    378,813.92x = 522,749.50 × 209,044.40
  4. Step 4: Simplify right side
    378,813.92x = 109,277,852,441.44
  5. Step 5: Solve for x
    x = 109,277,852,441.44/378,813.92
  6. Step 6: Final answer
    x = 288,473.70

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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.