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Finding the Fourth Proportional to 378,765.84, 522,696.28 and 208,999.92

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Solution

The fourth proportional to 378,765.84, 522,696.28 and 208,999.92 is: 288,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,765.84 : 522,696.28 = 208,999.92 : x
  2. Step 2: Convert to fraction form
    378,765.84/522,696.28 = 208,999.92/x
  3. Step 3: Cross multiply
    378,765.84x = 522,696.28 × 208,999.92
  4. Step 4: Simplify right side
    378,765.84x = 109,243,480,704.30
  5. Step 5: Solve for x
    x = 109,243,480,704.30/378,765.84
  6. Step 6: Final answer
    x = 288,419.57

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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.