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Finding the Fourth Proportional to 378,364.83, 522,146.97 and 208,605.03

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Solution

The fourth proportional to 378,364.83, 522,146.97 and 208,605.03 is: 287,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,364.83 : 522,146.97 = 208,605.03 : x
  2. Step 2: Convert to fraction form
    378,364.83/522,146.97 = 208,605.03/x
  3. Step 3: Cross multiply
    378,364.83x = 522,146.97 × 208,605.03
  4. Step 4: Simplify right side
    378,364.83x = 108,922,484,341.26
  5. Step 5: Solve for x
    x = 108,922,484,341.26/378,364.83
  6. Step 6: Final answer
    x = 287,876.87

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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.