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Finding the Fourth Proportional to 378,097.44, 521,797.76 and 208,331.52

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Solution

The fourth proportional to 378,097.44, 521,797.76 and 208,331.52 is: 287,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,097.44 : 521,797.76 = 208,331.52 : x
  2. Step 2: Convert to fraction form
    378,097.44/521,797.76 = 208,331.52/x
  3. Step 3: Cross multiply
    378,097.44x = 521,797.76 × 208,331.52
  4. Step 4: Simplify right side
    378,097.44x = 108,706,920,473.40
  5. Step 5: Solve for x
    x = 108,706,920,473.40/378,097.44
  6. Step 6: Final answer
    x = 287,510.33

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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.