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Finding the Fourth Proportional to 378,875.09, 522,846.55 and 209,108

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Solution

The fourth proportional to 378,875.09, 522,846.55 and 209,108 is: 288,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,875.09 : 522,846.55 = 209,108 : x
  2. Step 2: Convert to fraction form
    378,875.09/522,846.55 = 209,108/x
  3. Step 3: Cross multiply
    378,875.09x = 522,846.55 × 209,108
  4. Step 4: Simplify right side
    378,875.09x = 109,331,396,377.40
  5. Step 5: Solve for x
    x = 109,331,396,377.40/378,875.09
  6. Step 6: Final answer
    x = 288,568.45

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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.