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Finding the Fourth Proportional to 378,423.08, 522,197.08 and 208,653.56

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Solution

The fourth proportional to 378,423.08, 522,197.08 and 208,653.56 is: 287,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,423.08 : 522,197.08 = 208,653.56 : x
  2. Step 2: Convert to fraction form
    378,423.08/522,197.08 = 208,653.56/x
  3. Step 3: Cross multiply
    378,423.08x = 522,197.08 × 208,653.56
  4. Step 4: Simplify right side
    378,423.08x = 108,958,279,763.61
  5. Step 5: Solve for x
    x = 108,958,279,763.61/378,423.08
  6. Step 6: Final answer
    x = 287,927.15

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1.5x scale

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.