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Finding the Fourth Proportional to 378,659.48, 522,546.54 and 208,889.96

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Solution

The fourth proportional to 378,659.48, 522,546.54 and 208,889.96 is: 288,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,659.48 : 522,546.54 = 208,889.96 : x
  2. Step 2: Convert to fraction form
    378,659.48/522,546.54 = 208,889.96/x
  3. Step 3: Cross multiply
    378,659.48x = 522,546.54 × 208,889.96
  4. Step 4: Simplify right side
    378,659.48x = 109,154,725,838.74
  5. Step 5: Solve for x
    x = 109,154,725,838.74/378,659.48
  6. Step 6: Final answer
    x = 288,266.19

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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.