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Finding the Fourth Proportional to 378,488.75, 522,314.38 and 208,722.88

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Solution

The fourth proportional to 378,488.75, 522,314.38 and 208,722.88 is: 288,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,488.75 : 522,314.38 = 208,722.88 : x
  2. Step 2: Convert to fraction form
    378,488.75/522,314.38 = 208,722.88/x
  3. Step 3: Cross multiply
    378,488.75x = 522,314.38 × 208,722.88
  4. Step 4: Simplify right side
    378,488.75x = 109,018,958,460.73
  5. Step 5: Solve for x
    x = 109,018,958,460.73/378,488.75
  6. Step 6: Final answer
    x = 288,037.51

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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.