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Finding the Fourth Proportional to 378,315.84, 522,077.44 and 208,546.24

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Solution

The fourth proportional to 378,315.84, 522,077.44 and 208,546.24 is: 287,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,315.84 : 522,077.44 = 208,546.24 : x
  2. Step 2: Convert to fraction form
    378,315.84/522,077.44 = 208,546.24/x
  3. Step 3: Cross multiply
    378,315.84x = 522,077.44 × 208,546.24
  4. Step 4: Simplify right side
    378,315.84x = 108,877,287,100.83
  5. Step 5: Solve for x
    x = 108,877,287,100.83/378,315.84
  6. Step 6: Final answer
    x = 287,794.68

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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.