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Finding the Fourth Proportional to 378,778.68, 522,727.02 and 209,028.60

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Solution

The fourth proportional to 378,778.68, 522,727.02 and 209,028.60 is: 288,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,778.68 : 522,727.02 = 209,028.60 : x
  2. Step 2: Convert to fraction form
    378,778.68/522,727.02 = 209,028.60/x
  3. Step 3: Cross multiply
    378,778.68x = 522,727.02 × 209,028.60
  4. Step 4: Simplify right side
    378,778.68x = 109,264,897,172.77
  5. Step 5: Solve for x
    x = 109,264,897,172.77/378,778.68
  6. Step 6: Final answer
    x = 288,466.33

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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.