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Finding the Fourth Proportional to 378,358.50, 522,138.27 and 208,598.70

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Solution

The fourth proportional to 378,358.50, 522,138.27 and 208,598.70 is: 287,868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,358.50 : 522,138.27 = 208,598.70 : x
  2. Step 2: Convert to fraction form
    378,358.50/522,138.27 = 208,598.70/x
  3. Step 3: Cross multiply
    378,358.50x = 522,138.27 × 208,598.70
  4. Step 4: Simplify right side
    378,358.50x = 108,917,364,342.25
  5. Step 5: Solve for x
    x = 108,917,364,342.25/378,358.50
  6. Step 6: Final answer
    x = 287,868.16

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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.