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Finding the Fourth Proportional to 378,323.41, 522,089.82 and 208,563.61

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Solution

The fourth proportional to 378,323.41, 522,089.82 and 208,563.61 is: 287,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,323.41 : 522,089.82 = 208,563.61 : x
  2. Step 2: Convert to fraction form
    378,323.41/522,089.82 = 208,563.61/x
  3. Step 3: Cross multiply
    378,323.41x = 522,089.82 × 208,563.61
  4. Step 4: Simplify right side
    378,323.41x = 108,888,937,603.45
  5. Step 5: Solve for x
    x = 108,888,937,603.45/378,323.41
  6. Step 6: Final answer
    x = 287,819.72

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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.