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Finding the Fourth Proportional to 378,652.17, 522,531.57 and 208,886.25

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Solution

The fourth proportional to 378,652.17, 522,531.57 and 208,886.25 is: 288,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,652.17 : 522,531.57 = 208,886.25 : x
  2. Step 2: Convert to fraction form
    378,652.17/522,531.57 = 208,886.25/x
  3. Step 3: Cross multiply
    378,652.17x = 522,531.57 × 208,886.25
  4. Step 4: Simplify right side
    378,652.17x = 109,149,660,163.91
  5. Step 5: Solve for x
    x = 109,149,660,163.91/378,652.17
  6. Step 6: Final answer
    x = 288,258.38

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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.